Name Date Class
LESSON Practice B
5-1 Ratios
Write the ratio in simplest form.
1. 15 cows to 25 sheep 2. 24 cars to 18 trucks 3. 30 knives to 27 spoons
4. 34 mice to 17 cats 5. 12 notebooks to 20 pens 6. 44 students to 2 teachers
7. 9 feet to 84 inches 8. 6 yards to 18 feet 9. 12 feet to 12 inches
Simplify to tell whether the ratios are equal.
13 16 21 28 12 18 18 10
10. 39 and 48 11. 49 and 56 12. 28 and 42 13. 27 and 15
24 27 14 35 10 25 16 15
14. 27 and 30 15. 10 and 25 16. 32 and 80 17. 48 and 45
18. Mrs. Walters wanted one daffodil plant for every 2 tulip plants in
her garden. If she planted 20 daffodil bulbs, how many tulip
bulbs did she plant?
19. In a survey, 9 out of 10 doctors recommended a certain
medicine. If 80 doctors were surveyed, how many doctors
recommended the medicine?
20. A molecule of sodium carbonate contains 2 atoms of sodium to
every 3 atoms of oxygen. Could a compound containing 12
atoms of sodium and 15 atoms of oxygen be sodium carbonate?
Explain.
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Practice A
LESSON Practice B
LESSON
5-1 Ratios 5-1 Ratios
Write the ratio in simplest form. Write the ratio in simplest form.
1. 4 apples to 10 oranges 2. 12 forks to 6 spoons 3. 3 cats to 9 dogs 1. 15 cows to 25 sheep 2. 24 cars to 18 trucks 3. 30 knives to 27 spoons
2:5 2:1 1:3 3:5 4:3 10:9
4. 8 women to 6 men 5. 10 shoes to 10 socks 6. 15 grapes to 3 bananas 4. 34 mice to 17 cats 5. 12 notebooks to 20 pens 6. 44 students to 2 teachers
4:3 1:1 5:1 2:1 3:5 22:1
7. 3 yards to 12 feet 8. 18 inches to 2 feet 9. 24 inches to 1 yard 7. 9 feet to 84 inches 8. 6 yards to 18 feet 9. 12 feet to 12 inches
3:4 3:4 2:3 9:7 1:1 12:1
Simplify to tell whether the ratios are equal. Simplify to tell whether the ratios are equal.
1 3 1 2 3 5 2 4 13 16 21 28 12 18 18 10
10. 2 and 6 11. 7 and 14 12. 5 and 3 13. 6 and 8 10. 39 and 48 11. 49 and 56 12. 28 and 42 13. 27 and 15
1 1 1 1 3 5 1 1 1 1 3 1 3 3 2 2
yes, 2 yes, 7 no, 5 no, 3 yes, 3 3
no, 7 2
yes, 7 7
yes, 3 3
2 7 3 2
4 12 3 9 2 5 5 9 24 27 14 35 10 25 16 15
14. 5 and 15 15. 10 and 20 16. 8 and 20 17. 8 and 12 14. 27 and 30 15. 10 and 25 16. 32 and 80 17. 48 and 45
4 4 3 9 1 1 5 3 8 9 7 7 5 5 1 1
yes, 5 no, 10 yes, 4 no, 8 no, 9 10
yes, 5 5
yes, 16 16
yes, 3 3
5 20 4 4
18. Jesse saved one-half of what he made last week. Zoie made 18. Mrs. Walters wanted one daffodil plant for every 2 tulip plants in
$60 and saved an equivalent ratio to what Jesse saved. How her garden. If she planted 20 daffodil bulbs, how many tulip
much did Zoie save? bulbs did she plant?
$30 40 tulip bulbs
19. Tom has 100 baseball cards and 120 football cards. What is the 19. In a survey, 9 out of 10 doctors recommended a certain
ratio of baseball cards to football cards? medicine. If 80 doctors were surveyed, how many doctors
5 recommended the medicine?
6
72 doctors
20. A recipe calls for 2 cups of milk to make 4 servings of corn
20. A molecule of sodium carbonate contains 2 atoms of sodium to
chowder. Philip wants to make 10 servings of corn chowder. He
every 3 atoms of oxygen. Could a compound containing 12
plans to use 4 cups of milk. Is he planning to use the correct
atoms of sodium and 15 atoms of oxygen be sodium carbonate?
amount of milk? Explain.
Explain.
4 2 12 2
No, the ratio 10 is not equivalent to 4 . No, the ratio 15 is not equivalent to 3 .
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Practice C
LESSON Review for Mastery
LESSON
5-1 Ratios 5-1 Ratios
Write the ratio in simplest form. A ratio compares two quantities by division. A ratio is simplified
when the two parts of the ratio have no common factors.
1. 81 doves to 54 finches 2. 104 plates to 26 tables 3. 36 boys to 108 girls
To simplify a ratio, first write it in fraction form.
9:6 4:1 1:3
15
4. 17 yards to 153 feet 5. 288 inches to 6 feet 6. 1 yard to 216 inches 18
Then, divide the numerator and denominator by the greatest
1:3 4:1 1:6 common divisor.
Tell whether the ratios are equal. If not, find a ratio that would 15 3 5
be equal to the first ratio. 18 3 6
9 10 18 27 12 14 24 21 Equivalent ratios make the same comparison.
7. 27 and 28 8. 40 and 60 9. 15 and 17 10. 32 and 28
1 9 9 4 3 3
no, 3 yes, 20 20
no, 5 yes, 4 4
9 12 20 35 32 48 21 42 8 2 1
11. 63 and 84 12. 24 and 40 13. 36 and 54 14. 33 and 66
32 8 4
1 1 5 8 8 7 7 To find equivalent ratios:
yes, 7 7
no, 6 yes, 9 9
yes, 11 11 Divide by a common factor. Multiply by a common factor.
15. A clothing store ordered 10 dozen sweatshirts, 60 of which were 10 5 2 10 2 20
size XL. The next month, the store ordered 15 dozen 15 5 3 15 2 30
sweatshirts with an equivalent number being size XL. How many 10 2 20
So, two ratios equivalent to 15 are 3 and 30 .
XL sweatshirts were ordered in the second month?
90 sweatshirts Simplify each ratio.
16. Hayden has a collection of 250 CDs of various types of music. 2 2 2 4
4 3 10 1 10 5 8 9
If 75 of the CDs are country music, what is the ratio of country 1. 6 2. 5 3. 25 4. 18
CDs to the total number of CDs in the collection?
3 Complete to find two ratios equivalent to each given ratio.
10 4 48 3 150
3 16 4 10 16 3 120 75 25 4 75 2 200
17. Mr. Lee has 10 of his gross salary deducted for taxes. If Mr. Lee 5. 40 4 40 3
6. 100 25 100 2
makes $900 a week, how much is deducted for taxes?
Name two ratios equivalent to the given ratio. Possible answers given.
$270 6
7. 9 8. 3
1
9. 5
2 16
10. 20
18. A molecule of phosphoric acid contains 3 atoms of hydrogen to 2 18 3 9 12 8 8 4
every 4 atoms of oxygen. Could a compound containing 16 ,
3 27
,
9 27
,
30 20
,
10 5
atoms of oxygen and 12 atoms of hydrogen be phosphoric acid?
Explain.
12 3
Yes, the ratio 16 is equivalent to 4 .
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