Unit Prices Name: __________________________________________________ Rates are special ratios where the two things being compared have different units. For example, we could compare the price of purchasing things to the number of things bought. An example of a rate would be $16 for 8 red peppers. This rate can be used to find the unit price. Example: $16 16÷8 = = 8÷8 8 peppers 2 = $2 per pepper 1 Find the unit prices for the following questions. 1. Sampreet bought 3 pairs of flip-flops for $12.60. ____________________________________ 2. Caleb charges $100 to plow snow out of a driveway 5 times. __________________________ 3. A dozen eggs cost $2.60. ______________________________________________________ 4. Xin works at a laundromat. For an extra fee he will fold the freshly cleaned laundry. He charges $5.00 for 30 items. ___________________________________________________ Find the total cost when given the unit rate. 5. Hannah wants to buy 6 cucumbers at a rate of $1.25/cucumber. How much will it cost? 6. Gasoline is $4.20 per gallon. How much will it cost Henrico to purchase 25 gallons? ______________________________ ______________________________ 7. A rose cost $3.40. How much will it cost to buy a dozen roses? 8. A small paperback book costs $4.80. Miss Bates wants to purchase 30 copies for her class. How much will this cost? ______________________________ ______________________________ Copyright © 2013 k12mathworksheets.com. All Rights Reserved. Free for educational use at home or in classrooms. www.k12mathworksheets.com Unit Prices Name: __________________________________________________ Rates are special ratios where the two things being compared have different units. For example, we could compare the price of purchasing things to the number of things bought. An example of a rate would be $16 for 8 red peppers. This rate can be used to find the unit price. Example: $16 16÷8 = = 8÷8 8 peppers 2 = $2 per pepper 1 Find the unit prices for the following questions. 1. Sampreet bought 3 pairs of flip-flops for $12.60. ____________________________________ 2. Caleb charges $100 to plow snow out of a driveway 5 times. __________________________ 3. A dozen eggs cost $2.60. ______________________________________________________ 4. Xin works at a laundromat. For an extra fee he will fold the freshly cleaned laundry. He charges $5.00 for 30 items. ___________________________________________________ Find the total cost when given the unit rate. 5. Hannah wants to buy 6 cucumbers at a rate of $1.25/cucumber. How much will it cost? 6. Gasoline is $4.20 per gallon. How much will it cost Henrico to purchase 25 gallons? ______________________________ ______________________________ 7. A rose cost $3.40. How much will it cost to buy a dozen roses? 8. A small paperback book costs $4.80. Miss Bates wants to purchase 30 copies for her class. How much will this cost? ______________________________ ______________________________ Copyright © 2013 k12mathworksheets.com. All Rights Reserved. Free for educational use at home or in classrooms. www.k12mathworksheets.com Name: Using Unit Prices Solve each problem. Answers 1) At the toy store you could get 2 board games for $8.36. Online the price for 3 board games is $12.84. Which place has the highest price for a board game? toy store = $4.18 , online = $4.28 2) The book fair had a sale where 6 books were $20.46. If you wanted to buy 7 books, how much money would you need? 1 book = $3.41 3) A shoe store was having a back to school sale where you could buy 6 pairs of shoes for $52.62. If a large family decided to buy 3 pairs of shoes, how much would it cost them? 1 pair = $8.77 4) At the market you can buy 5 bags of apples for $23.60. At the orchard you can get 7 bags of apples for $32.76. Which is the better deal? market = $4.72 , orchard = $4.68 5) A book store was selling 5 books for $26.35. Online the you could buy 2 books for $10.58. Which place has a lower unit price? book store = $5.27 , online = $5.29 1. online 2. $23.87 3. $26.31 4. orchard 5. book store 6. red 7. $131.32 8. $59.00 9. nuggets 10. $13.72 6) A store had 4 blue chairs for $73.48 or 5 red chairs for $91.40. Which color chair has a lower unit price? blue = $18.37 , red = $18.28 7) A video game store was getting rid of old games, selling them 3 for $56.28. If they sold 7 games, how much money would they have made? 1 game = $18.76 8) At the store beef jerky was $44.25 for 3 pounds. If you bought 4 pounds, how much would it cost? 1 pound = $14.75 9) A fast food restaurant had 7 boxes of chicken nuggets for $25.90. A competing restaurant had 3 boxes of chicken fingers for $11.07. Which food has a higher unit price? nuggets = $3.70 , fingers = $3.69 10) At the baseball stadium the price for popcorn is $5.88 for 3 bags. If you wanted to buy 7 bags of popcorn, how much would it cost? 1 bag = $1.96 Math www.CommonCoreSheets.com 2 1-10 90 80 70 60 50 40 30 20 10 0 Name: Using Unit Prices Answer Key Solve each problem. Answers 1) At the toy store you could get 2 board games for $8.36. Online the price for 3 board games is $12.84. Which place has the highest price for a board game? toy store = $4.18 , online = $4.28 2) The book fair had a sale where 6 books were $20.46. If you wanted to buy 7 books, how much money would you need? 1 book = $3.41 3) A shoe store was having a back to school sale where you could buy 6 pairs of shoes for $52.62. If a large family decided to buy 3 pairs of shoes, how much would it cost them? 1 pair = $8.77 4) At the market you can buy 5 bags of apples for $23.60. At the orchard you can get 7 bags of apples for $32.76. Which is the better deal? market = $4.72 , orchard = $4.68 5) A book store was selling 5 books for $26.35. Online the you could buy 2 books for $10.58. Which place has a lower unit price? book store = $5.27 , online = $5.29 1. online 2. $23.87 3. $26.31 4. orchard 5. book store 6. red 7. $131.32 8. $59.00 9. nuggets 10. $13.72 6) A store had 4 blue chairs for $73.48 or 5 red chairs for $91.40. Which color chair has a lower unit price? blue = $18.37 , red = $18.28 7) A video game store was getting rid of old games, selling them 3 for $56.28. If they sold 7 games, how much money would they have made? 1 game = $18.76 8) At the store beef jerky was $44.25 for 3 pounds. If you bought 4 pounds, how much would it cost? 1 pound = $14.75 9) A fast food restaurant had 7 boxes of chicken nuggets for $25.90. A competing restaurant had 3 boxes of chicken fingers for $11.07. Which food has a higher unit price? nuggets = $3.70 , fingers = $3.69 10) At the baseball stadium the price for popcorn is $5.88 for 3 bags. If you wanted to buy 7 bags of popcorn, how much would it cost? 1 bag = $1.96 Math www.CommonCoreSheets.com 2 1-10 90 80 70 60 50 40 30 20 10 0 Traditional Math Unit Cost Worksheet 1. A set of tires for your car costs $435.00. What is the cost for 1 tire? Answer: $435.00 ÷ 4 = $108.75 2. An 18 pack of Charmin toilet paper cost $6.75. How much does each roll cost? 3. A 12 pack of Dove Hand Soap cost $8.84. How much per bar of soap? 4. A 6 pack of socks from Wal-Mart cost $11.89. How much for a pair of socks? 5. Your family is flying to Florida and had to purchase 6 airplane tickets for $2750.00. How much does each plane ticket cost? 6. Sally goes to gas station A and buys 25 gallons of gas for $91.75. Jane goes to gas station B and buys 16 gallons of gas for $58.40. Who paid more per gallon? Explain your answer and show your work. Answer: $91.75 ÷ 25gal = $3.67 gal $58.40 ÷ 16gal = $3.65 gal Sally pays more per gallon based on unit price. 7. A 12 pack of 16oz. cans of Pepsi cost $3.99. How much does each can cost? How much does a cup of Pepsi cost? 8. You buy a 24 oz. container of Fruit Punch powdered mix for $2.98. The whole container makes 4 gallons of punch. You use half of the fruit punch mix. How much does each 8oz. cup cost? 9. The unit cost of a 2x6 piece of decking that is 12 feet long is $15.75. To build your deck you will need 37 2x6 boards. How much will your lumber cost? 10. You go shopping and buy a 10 lb. family pack of ground chuck for $23.47. There is a manager’s special coupon for $3.25 off your purchase. How much did you pay per lb.? Answer Sheet for Traditional Math Unit Cost Worksheet 1. A set of tires for your car costs $435.00. What is the cost for 1 tire? Answer: $435.00 ÷ 4 = $108.75 2. An 18 pack of Charmin toilet paper cost $6.75. How much does each roll cost? Answer: $6.75 ÷ 18 =$0.38 a roll 3. A 12 pack of Dove Hand Soap cost $8.84. How much per bar of soap? Answer: $8.84 ÷ 12 =$0.74 4. A 6 pack of socks from Wal-Mart cost $11.89. How much for a pair of socks? Answer: $11.89 ÷ 6 = $1.98 5. Your family is flying to Florida and had to purchase 6 airplane tickets for $2750.00. How much does each plane ticket cost? Answer: $2750 ÷ 6 = $458.33 6. Sally goes to gas station A and buys 25 gallons of gas for $91.75. Jane goes to gas station B and buys 16 gallons of gas for $58.40. Who paid more per gallon? Explain your answer and show your work. Answer: $91.75 ÷ 25gal = $3.67 gal $58.40 ÷ 16gal = $3.65 gal Sally pays more per gallon based on unit price. 7. A 12 pk of 16oz. cans of Pepsi cost $3.99. How much does each can cost? How much does a cup of Pepsi cost? Answer: $3.99 ÷ 12can = $0.33/can .33/can ÷ 16oz/ can = .02/oz 12 cans * 16oz. = 192 oz. or .02/oz * 8oz = $0.16/cup $3.99 ÷ 192oz = $0.02oz $0.02 * 8oz = $0.16 cup of Pepsi 8. You buy a 24 oz. container of Fruit Punch powdered mix for $4.98. The whole container makes 4 gallons of punch. You used half of the fruit punch mix. How much does each 8oz. cup cost? Answer: 2 gal ⋄ 128oz per gal = 256oz $4.98 ÷ 2 = $2.49 or $4.98 * 1/2 = $2.49 or $4.98 * 0.5 = $2.49 $2.49 ÷ 256oz = $0.009per oz Rounded up to $0.01per oz $0.01per oz * 8oz. = $0.08 per cup 9. The unit cost of a 2X6 piece of decking that is 12 feet long is $15.75. To build your deck you will need 37 2X6’s. How much will your lumber cost? Answer: $15.75 per piece * 37 pieces = $582.75 10. You go shopping and buy a 10lb. family pack of ground chuck for $23.47. There is a manager’s special coupon for $3.25 off your purchase. How much did you pay per lb.? Answer: $23.47 - $3.25 = $20.22 (final price paid for ground chuck) $20.22 ÷ 10 lb. = $2.02 per lb. Culinary Math Unit Cost Worksheet 1. There are 6 cans of pasta sauce in a case(cs). Each case cost $24.00. Find the cost of each can. Answer: $24.00 ÷ 6 cn = $4.00 can 2. A 24 count (ct) or 1 case of green leaf lettuce cost $32.50. How much does each head of lettuce cost? 3. 1 case (cs) of large white eggs cost $17.80. How much does each egg cost? 4. A 50lb bag of flour cost $27.00. How much does 8oz of flour cost? 5. We bought a case of 6 gallons of chicken broth for $72.22. The recipe for Chicken Noodle Soup calls for 2 1/2 qt of Chicken broth. How much does the chicken broth for the soup cost? Answer: 50 * 16oz = 800oz $27.00 ÷ 800oz = $0.03oz $0.03 * 8oz = $0.24 6. The Prime Rib Roast cost $115.00 and the finished weight after cooking is 12 3/4 lbs. There are 50 people coming in and each will be served 4oz of meat. How much does each portion cost? 7. To make 100 orders of salsa we need to chop 12 lb of Roma Tomatoes. Each order of salsa has 3.5 oz serving of tomato. One 24 lb case of tomatoes cost $37.48. How much does each serving of tomato cost? 8. A case of individually wrapped straws has 15 boxes of 3000 straws each. The whole case of straws cost $15.76. How much does each straw cost? 9. The restaurant uses 1700 paper place mats every week. A case of 3500 place mats cost $33.45. How many place mats will the restaurant use in one year. How much will that cost the restaurant? 10. The restaurant paid its four kitchen employees a total of $134,789.77 for one years work. Each employee averaged 35 hours a week for 50 weeks. What was the average hourly pay per employee? Culinary Math Unit Cost Worksheet Answers 1. There are 6 cans of pasta sauce in a case(cs). Each case cost $24.00. Find the cost of each can. Answer: $24.00 ÷ 6cn = $4.00 can 2. A 24 count (ct) or 1 case of green leaf lettuce cost $32.50. How much does each head of lettuce cost? Answer: $32.50 ÷ 24ct = $1.35 per head of lettuce 3. 1 case (cs) of 96 large white eggs cost $17.80. How much does each egg cost? Answer: $17.80 ÷ 96 = $0.19 per egg 4. A 50lb bag of flour cost $27.00. How much does 8oz of flour cost? Answer: 50 * 16oz = 800oz $27.00 ÷ 800oz = $0.03oz $0.03 * 8oz = $0.24 5. We bought a case of 6 gallons of chicken broth for $72.22. The recipe for Chicken Noodle Soup calls for 2 1/2 qt of Chicken broth. How much does the chicken broth for the soup cost? Answer: 6gal * 4qt/gal = 24 quarts $72.22 ÷ 24qt = $3.01 per quart $3.01 * 2 1/2 qt = $7.53 6. The Prime Rib Roast cost $115.00 and the finished weight after cooking is 12 3/4 lbs. There are 50 people coming in and each will be served 4oz of meat. How much does each portion cost? Answer: 12 3/4 lb * 16oz =204oz $115 ÷ 204oz = $0.56oz 4oz * $0.56 = $2.24 per portion 7. To make 100 orders of salsa we need to chop 12lb of Roma Tomatoes. Each order of salsa has 3.5 oz serving of tomato. One 24lb case of tomatoes cost $37.48. How much does each serving of tomato cost? Answer: $37.48 ÷ 2 = $18.74 12 lb = $18.74 12 lb *16oz = 192oz $18.74 ÷ 192oz = $0.10 per oz. 3.5oz * $0.10 = $.35 per serving 8. A case of individually wrapped straws has 15 boxes of 3000 straws each. The whole case of straws cost $100.76. How much does each straw cost? Answer: 15boxes * 3000straws/box = 45000 straws $100.76 ÷ 45000straws = $0.002 per straw 9. The restaurant uses 1700 paper place mats every week. A case of 3500 place mats cost $33.45. How many place mats will the restaurant use in one year. How much will that cost the restaurant. Answer: 1700pm * 52 weeks = 88400 place mats 88400pm ÷ 3500pm per cs = 25.25 cases 25.25cases * $33.45 cs = $844.61 10. The restaurant paid its four kitchen employees a total of $134,789.77 for one years work. Each employee averaged 35 hours a week for 50 weeks. What was the average hourly pay per employee. Answer: $134,789.77 ÷ 4 = $33697.44 per employee 35 hrs * 50 wks = 1750 hrs per year $33697.44 ÷ 1750hrs = $19.26per hr Alternative Assessment Worksheet Answers Unit Price Worksheet 1 liter = 33.81 fluid ounces Calculate the Unit Price and circle the best value based on the unit price 1. Green Beans: Answer: b a. Del Monte: 14.5 oz for $1.75 b. Store Brand: 14.5 oz for $1.45 $0.12 $0.10 2. Brown Sugar (box) Answer: b a. C&H: 16 oz for $1.25 $0.08 b. Store Brand: 16 oz for $.84 $0.05 3. Fruit Loops Cereal Answer: c a. Kellogg’s: 12.2 oz for $4.58 $0.38 b. Kellogg’s: 17 oz for $5.49 $0.32 c. Store brand: 28 oz for $4.49 $0.16 4. a. b. c. d. e. Bagged Coffee Answer: c Starbucks: 12 oz for $11.19 Dunkin Donuts: 12 oz for $10.39 c. Store brand: 26 oz for $7.99 d. Don Francisco: 12 oz for $6.25 Folgers Coffee Pods: 3.95 oz for $5.79 $0.93 $0.87 $0.31 $0.52 $1.47 5. Sodas Answer: d a. Pepsi:2 L T $1.99 $0.03 b. Pepsi; 8 pk of 12 oz sodas, $4.59 how much per ounce? $0.05 c. Mtn Dew Fridge Mate: 18 12 oz sodas, $6.99, how much per ounce? $0.03 d. Store brand soda: 12-12 oz sodas, $3.19, how much per ounce? $0.02 6. a. b. c. Soup Answer: c Progresso: 19 oz for $2.99 Campbell’s Chunky: 18.8 oz for $2.99 Eat Right Soup: 18.8 oz for $2.79 7. “Chicken Noodle Soup” a. Campbell’s: 10.75 oz for $1.00 b. Store brand: 10.5oz for 85¢ 8. Instant Lunch Soup a. Maruchan: 1-2.25 oz 65¢ b. Maruchan: 6-2.25 oz $3.49 9. Instant Soup (bagged, Top Ramen) a. Maruchan: 6-3oz for $1.65 b. Top Ramen: 6-3oz for $1.79 c. Maruchan: 1-3oz for 35¢ $0.16 $0.17 $0.15 Answer: b $0.09 $0.08 Answer: b $0.29 $0.26 Answer: a $0.09 $0.10 $0.12 Alternative Assessment Worksheet Unit Price Worksheet 1 liter = 33.81 fluid ounces Calculate the Unit Price and circle the best value based on the unit price 1. Green Beans: a. Del Monte: 14.5 oz for $1.75 b. Store Brand: 14.5 oz for $1.45 2. Brown Sugar (box) a. C&H: 16 oz for $1.25 b. Store Brand: 16 oz for $.84 3. Fruit Loops Cereal a. Kellogg’s: 12.2 oz for $4.58 b. Kellogg’s: 17 oz for $5.49 c. Store brand: 28 oz for $4.49 4. a. b. c. d. e. Bagged Coffee Starbucks: 12 oz for $11.19 Dunkin Donuts: 12 oz for $10.39 c. Store brand: 26 oz for $7.99 d. Don Francisco: 12 oz for $6.25 Folgers Coffee Pods: 3.95 oz for $5.79 5. Sodas a. Pepsi:2 L T $1.99 b. Pepsi; 8 pk of 12 oz sodas, $4.59 how much per ounce? c. Mtn Dew Fridge Mate: 18 12 oz sodas, $6.99, how much per ounce? d. Store brand soda: 12-12 oz sodas, $3.19, how much per ounce? 6. a. b. c. Soup Progresso: 19 oz for $2.99 Campbell’s Chunky: 18.8 oz for $2.99 Eat Right Soup: 18.8 oz for $2.79 7. “Chicken Noodle Soup” a. Campbell’s: 10.75 oz for $1.00 b. Store brand: 10.5oz for 85¢ 8. Instant Lunch Soup a. Maruchan: 1-2.25 oz 65¢ b. Maruchan: 6-2.25 oz $3.49 9. Instant Soup (bagged, Top Ramen) a. Maruchan: 6-3oz for $1.65 b. Top Ramen: 6-3oz for $1.79 c. Maruchan: 1-3oz for 35¢ Worksheet 2d Name ________________________________ Math 8 Unit Price Per. __________________ Date__________________ Teacher _______________ Find the Unit Price for each. Round to the nearest cent. 1. 3 cans of cat food for $0.85 2. 14 ounces of olive oil for $3.59 3. 8.5 pounds of ground beef for $19.00 4. 4 pair of socks for $11.00 5. A box of national brand cornflakes is $2.09 for 12 ounces. A box of store label cornflakes is $3.09 for 20 ounces. a. Find the unit price for each. b. Assuming both brands taste equally good, which is the better buy, and why? ____________________________________________________________________ ____________________________________________________________________ ____________________________________________________________________ c. If you have a 30¢-off coupon for the national brand, which is the better buy, and why? ____________________________________________________________________ ____________________________________________________________________ ____________________________________________________________________ Find the Unit Price for each bottle of conditioner. Which bottle of hair conditioner is the best buy? 6. 8 oz for $1.49 7. 12 oz for $2.29 8. 15 oz for $2.75 9. 20 oz for $3.89 Find the Unit Price and choose the better buy for each comparison. 10. 3 cans of tomato sauce for $1.49 or 5 cans of tomato sauce for $2.39 11. 24 ounces of juice for $2.25 or 40 ounces of juice for $3.79 12. 4.4 pounds of sugar for $2.35 or 10 pounds of sugar for $4.99 13. A bag of 8 rolls for $1.89 or a bag of 18 rolls for $3.79
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