Name _______________________________________ Date ______ Period ____ Unit 4: Ratio and Rates – Word Problem Practice Read each question carefully. Use the given bar models as examples for when you need to make your own. Show all work in your math notebook. 1. A tree is 15 meters tall. A seedling next to it is 7 centimeters tall. What is the ratio of the height of the seedling to the height of the tree? 2. Find the missing term in the pair of equivalent ratios a. 6 : 5 = 24 : ____ b. Did you use multiplication or division? Explain. 3. The ratio of Harry’s money to Lincoln’s money is 6 : 5. a. If Harry and Lincoln have a total of $715, how much money does Harry have? b. If Lincoln has $575, how much money does Harry have? 4. A box contains red ink pens and blue ink pens. The ratio of the number of red ink pens to the number of blue ink pens is 6 : 1. a. If the total number of ink pens is 1,932, find the number of each type of ink pens. b. If the number of red ink pens is 858, find the number of blue ink pens. 5. A wooden plank is cut into two pieces. The ratio of the length of the two pieces of wood is 7 : 10. a. If the length of the original wooden plank is 952 centimeters, what is the length of the shorter piece of wood? b. If the length of the shorter piece of wood is 168 centimeters, what is the length of the longer piece of wood? 6. The ratio of the number of orange trees to the number of apple trees to the number of pear trees in an orchard is 5 : 6 : 4. a. If there are 1,275 trees in the orchard, how many of each type of fruit trees are there? b. If there are 720 pear trees, how many trees are there in all? 7. Shelby, Brandon, and Ling shared the cost of lunch in the ratio of 2 : 5 : 3. a. If lunch cost $250, how much did each person pay? b. If Ling paid $24, how much did the lunch cost? 8. The number of stickers collected by Maurice, Elle, and Justin is in the ratio 8 : 5 : 7. a. If Maurice collected 960 stickers, how many stickers did Elle and Justin each collect? b. If the three children have 1,500 stickers altogether, how many stickers did they each collect? 9. In a school, the ratio of the number of girls to the number of boys is 7 : 5. In the same school, the ratio of the number of boys to the number of teachers is 15 : 1. There are 210 girls in the school. How many boys and teachers are there? 10. The ratio of the number of hair clips to the number of ribbons is 5 : 2. The ratio of the number of ribbons to the number of headbands is 4 : 5. If there are 40 hair clips, how many ribbons and headbands are there? 11. The ratio of the number of red marbles to the number of green marbles in a bag is 2 : 3. The ratio of the number of green marbles to the number of blue marbles is 9 : 4. There are 76 marbles in the bag. a. Find the number of red marbles in the bag. b. Find the number of green marbles in the bag. c. Find the number of blue marbles in the bag. 12. In the morning, the ratio of the number of seabirds to the number of sea turtles in a rescue center is 3 : 2. After 15 sea turtles are rescued in the afternoon, the ratio becomes 9 : 11. How many seabirds are in the rescue center? 13. The ratio of the number of newspapers Joshua sold to the number of newspapers Ron sold was 5 : 3. After Ron sold 28 more newspapers in the evening, the ratio became 10 : 13. a. How many newspapers did Joshua sell? b. How many newspapers did Ron sell in all? 14. The ratio of the number of boys to the number of girls in a dance club is 5 : 6. After 6 more boys join the club, the ratio became 13 : 12. a. How many members of the club are girls? b. How many boys are members of the club in the end? 15. A number of baseball cards were shared among Ray, Serge, and Tony in the ratio of 2 : 4 : 9. If Serge got 55 fewer cards than Tony, how many cards did Tony get? Explain how to solve this problem.

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