Name
Lesson 16.3
Ratios and Rates
Write each ratio in fraction form. Then find the unit rate.
1. 243 seconds for 81
2. $3.52 for 4 pounds of
jumping jacks
3. 18 pages in 3 days
bananas
4. $4.98 for 2 gallons of milk
5. 48 ounces in 3 cans
6. 64 doors on 16 cars
7. 96 books on 8 shelves
8. 300 miles in 5 hours
9. $24 for 4 hours of work
10. 144 peaches in 3 cases
11. 104 boxes in 8 stacks
12. 455 miles in 7 hours
Problem Solving and Test Prep
13. A package of 12 juice boxes is $2.76.
14. Fast Fact There are 124 calories in two
A package of 16 juice boxes is $4.00.
Which package is the better buy?
cups of grapes. How many calories are
there in 1 cup of grapes?
15. Sara buys 3 pounds of chicken for
16. Alex spends $9.75 on 5 packages of
$17.97. What is the unit cost?
baseball cards. What is the unit cost?
A $2.98
A $1.95
B
$5.99
B
$3.25
C
$6.00
C
$4.75
D $17.97
D $14.75
PW103
Practice
© Harcourt • Grade 5
MXENL08AWK5X_PHTE_C16_L03.Indd PW103
6/15/07 12:25:49 PM
Name
Name
Lesson 16.3
Ratios and Rates
Understand Maps and Scales
Write each ratio in fraction form. Then find the unit rate.
1. 243 seconds for 81
Lesson 16.4
Complete the ratio table.
2. $3.52 for 4 pounds of
jumping jacks
3. 18 pages in 3 days
1.
Map Distance, in
1
2
5
6
8
Actual Distance, mi
60
120
300
360
480
8
9
bananas
$3.50
____ ;
4
243
___ ;
81
3 sec per
jumping jack
18
__
; 6 pages
3
$0.88
per banana
4. $4.98 for 2 gallons of milk
per day
5. 48 ounces in 3 cans
$4.98
___ ; $2.49
2
per gallon
6. 64 doors on 16 cars
4 doors
per car
8. 300 miles in 5 hours
12 books
on each shelf
60 miles
per hour
10. 144 peaches in 3 cases
11. 104 boxes in 8 stacks
3. 2.2 in.
4. 7 in.
660 mi
$24
___ ;
4
$6 per
hour
7. 0.25 cm
455
___ ; 65 miles
7
per hour
8. 6 cm
14. Fast Fact There are 124 calories in two
cups of grapes. How many calories are
there in 1 cup of grapes?
the package of 12
juice boxes
9. 3.1 cm
1,620 mi
10. 8 cm
13.02 km
25.2 km
33.6 km
12. The scale on a map showing Fargo
62 calories
16. Alex spends $9.75 on 5 packages of
baseball cards. What is the unit cost?
and Grand Forks is 0.5 in. ⫽ 20 mi.
The distance between these cities is
80 miles. What is the distance
on the map?
2 cm ⴝ 220 km
2 in.
13. Amber draws a map of her town using
A
A $1.95
14. Nathan draws a map of his
a scale of 1 in. ⫽ 50 ft. The actual
distance between Amber’s house and
the library is 975 feet. What is the
C
distance on the map?
neighborhood using a scale of
1 cm ⫽ 4 km. The distance on the
map between Nathan’s house and
Mr. Smith’s house is 2.1 centimeters.
What is the actual distance?
D
A 7.5 in.
A 1.9 cm
B
$5.99
B
$3.25
B
7.5 ft
B
6.1 cm
C
$6.00
C
$4.75
C
19.5 in.
C
8.2 cm
D $17.97
6. 5.4 in.
120 mi
4 cm ⫽ 220 km. Another map of Spain
is half the size. What is the scale of the
smaller map?
A package of 16 juice boxes is $4.00.
Which package is the better buy?
A $2.98
57
5. 0.4 in.
2,100 mi
11. A map of Spain has a scale of
13. A package of 12 juice boxes is $2.76.
B
15
Problem Solving and Test Prep
Problem Solving and Test Prep
$17.97. What is the unit cost?
13
49.4
12. 455 miles in 7 hours
104
___
; 13 boxes
8
in each stack
15. Sara buys 3 pounds of chicken for
30.4 34.2
For 3–6, the scale is 1 in. ⴝ 300 mi. For 7–10, the scale is 2 cm ⴝ 8.4 km.
1.05 km
144 ; 48 peaches
___
3
in each case
1
3.8
The map distance is given. Find the actual distance.
9. $24 for 4 hours of work
300
___ ;
5
96
__ ;
8
Map Distance, cm
Actual Distance, km
64
__;
16
48
__ ; 16 ounces
3
per can
7. 96 books on 8 shelves
2.
D 19.5 ft
D $14.75
Circled problems are suggested homework problems.
PW103
D 8.4 cm
Circled problems are suggested homework problems.
Practice
PW104
Practice
© Harcourt • Grade 5
MXENL08AWK5X_PHTE_C16_L03.Indd PW103
6/15/07 12:25:49 PM
© Harcourt • Grade 5
MXENL08AWK5X_PHTE_C16_L04 .indd PW104
Lesson 16.3
Item
6/15/07 12:28:04 PM
Lesson 16.4
Suggested rationale
Item
Suggested rationale
1
write a ratio as a fraction
1
using ratios
2
write a ratio as a fraction using
currency
2
using ratios to complete a table
4
find the unit rate using currency
3
using a map scale to find distance
8
find the unit rate using miles
5
multiplying to find a distance in
customary units
11
find the unit rate
7
using map scale
13
compare unit costs to find the
better buy
10
multiplying to find an actual
distance in metric units
14
use division to find the rate
11
dividing to find a map scale
15
use division to find the unit cost
13
finding a distance on a map given
the scale
16
use division to find the unit rate to
solve a word problem
14
finding an actual distance given
distance on a map and the map
scale
PW103-PW104
Practice
© Harcourt • Grade 5
MXENL08AWK5X_PHTE_RatB.indd PW104
7/2/07 2:44:01 PM