Name
Lesson 16.2
Algebra: Equivalent Ratios and Proportions
Write two equivalent ratios for each ratio. Use multiplication or division.
1. 1:7
5
3. __
3
2. 28 to 4
4. 9:27
Tell whether the ratios form a proportion. Write yes or no.
3
1
5. __ and ___
4
12
13
52
7. ___ and ___
23
99
42
14
6. ___ and ___
9
3
8
4
8. ___ and __
49
9
Problem Solving and Test Prep
9. Mia makes purple paint. For 1 gallon
10. A flower bed has 7 red tulips and
of paint, she mixes 1 part red paint to
3 parts blue paint. Write a proportion
that shows how many parts of each
color Mia would need for 5 gallons of
purple paint.
9 yellow tulips. What is the ratio of red
tulips to yellow tulips?
11. In the library, the ratio of mysteries to
12. The ratio for making salad dressing is
westerns is 4 to 1. The library has
32 mystery books. How many western
books are there?
3 cups oil to 1 cup of vinegar. Which is
an equivalent ratio for 3 to 1?
A 3
A 3:1
B
5
B
5:15
C
8
C
6:1
D 28
D 9:6
PW102
Practice
© Harcourt • Grade 5
MXENL08AWK5X_PHTE_C16_L02.indd PW102
6/15/07 12:25:32 PM
Name
Lesson 16.1
Name
Lesson 16.2
Possible answers
Algebra: Equivalent Ratios and Proportions
are given.
Understand and Express Ratios
Write each ratio three ways. Then name the type of ratio.
Write two equivalent ratios for each ratio. Use multiplication or division.
1. 1:7
2:14;
3:21
1. flags with stripes: flags
2. flags with a torch to flags
with stars
3 to 1; 3:1;
3
_ ; whole to part
1
5. flags with a torch to flags
number of flags
1 to 1; 1:1;
1
_ ; part to part
1
3
1
5. __ and ___
4
12
13
52
7. ___ and ___
23
99
42
14
6. ___ and ___
9
3
yes
yes
no
8. Fast Fact The state flag of Texas has
3 stripes. The blue stripe stands for
loyalty, the white stripe stands for
strength, and the red stripe stands for
bravery. The blue stripe has a white star
in its center. Write the ratio of blue stripes
to total number of stripes in three ways.
1 to 3; 1:3; _13
Possible answer: 7:6
9. Sara has 5 books about dogs and
no
10. A flower bed has 7 red tulips and
of paint, she mixes 1 part red paint to
3 parts blue paint. Write a proportion
that shows how many parts of each
color Mia would need for 5 gallons of
purple paint.
9 yellow tulips. What is the ratio of red
tulips to yellow tulips?
5
1
_
ⴝ __
3
15
Possible answer: 7 to 9
11. In the library, the ratio of mysteries to
10. Cody used 4 paper towels to clean up a
12. The ratio for making salad dressing is
westerns is 4 to 1. The library has
32 mystery books. How many western
C
books are there?
3 cups oil to 1 cup of vinegar. Which is
A
an equivalent ratio for 3 to 1?
A 3
A 3:1
3 books about horses. What is the
ratio of books about horses to books
about dogs?
C
mess. There are still 5 paper towels left
on the roll. What is the ratio of used
paper towels to total paper towels?
B
A 5:3
A 4:5
B
5
B
5:15
C
8
C
6:1
B
8:3
B
4:9
C
3:5
C
5:4
D 5:8
8
4
8. ___ and __
49
9
Problem Solving and Test Prep
9. Mia makes purple paint. For 1 gallon
Problem Solving and Test Prep
and 6 gold stripes. What is the ratio of
red stripes to gold stripes?
1:3;
3:9
with a torch
1 to 1; 1:1;
1
_ ; part to part
1
7. The Arizona state flag has 7 red stripes
9
Tell whether the ratios form a proportion. Write yes or no.
6. flags with stars to flags
with a C
2 to 3; 2:3;
2
_ ; part to whole
3
6
flags with a C
1 to 2; 1:2;
1
_ ; part to part
2
4. flags with stripes: total
4. 9:27
15
10 __
__
;
7 to 1;
14 to 2
3. total number of flags to
with stripes
2 to 1; 2:1;
2
_ ; part to part
1
5
3. __
3
2. 28 to 4
D 28
D 5:9
Circled problems are suggested homework problems.
PW101
D 9:6
Circled problems are suggested homework problems.
Practice
PW102
© Harcourt • Grade 5
Practice
© Harcourt • Grade 5
MXENL08AWK5X_PHTE_C16_L02.indd PW102
Lesson 16.1
Item
6/15/07 12:25:32 PM
Lesson 16.2
Suggested rationale
Item
Suggested rationale
1
part-to-part ratio
1
finding equivalent ratios
3
whole-to-part ratio
2
use division to find
equivalent ratios
4
part-to-whole ratio
3
use multiplication to find
equivalent ratios
6
write a ratio three ways
6
ratios that form a
proportion
7
find a ratio
7
ratios that do not form a
proportion
8
find a part-to-whole ratio
9
write a proportion
10
compare a part to a whole
11
use a proportion to solve a
word problem
12
finding equivalent ratios to
solve a word problem
PW101-PW102
Practice
© Harcourt • Grade 5
MXENL08AWK5X_PHTE_RatB.indd PW101
7/2/07 2:43:56 PM