chapter 12 vocabulary ratios and proportions...

Name Date

Vocabulary • Ratios and ProportionsCHAPTER 12

151

Complete each sentence using a word or words from the box.

1. A is a statement that two ratios are equal.

2. A ratio that compares the size of a drawing with the size of the original drawing

is called a .

3. The is a comparison of two amounts with different

units of measure.

4. A picture that shows the proportional size of actual objects is called the

.

5. The cost of a set of items is called .

6. A is a comparison of one amount with another.

Use the numbers in the box to answer the following questions.

7. Which is an example of a rate?

8. Which is an example of a scale?

9. Which is an example of a proportion?

10. Which is an example of a ratio?

Pacemaker® Interactive Classroom Resources CD-ROM for Basic Mathematics © by Pearson Education, Inc./Globe Fearon/Pearson Learning Group. All rights reserved. Chapter 12 • Resources 151

ratio proportion scale

rate multiple unit pricing scale drawing

5 miles/gallon 2 pages/6 pages 1 inch/5 miles �13� � �

39�

Pacemaker® Interactive Classroom Resources CD-ROM for Basic Mathematics152 Chapter 12 • Resources © by Pearson Education, Inc./Globe Fearon/Pearson Learning Group. All rights reserved.

Review • Ratio and ProportionCHAPTER 12

152

Name Date

Write each ratio with a ratio sign and as a fraction in lowest terms.

1. vowels to total number of 2. total number of letters toletters in the word HOMEWORK vowels in the word DOWNSTAIRS

3. vowels to the total number of 4. total number of letters toletters in the word DINOSAUR vowels in the word CLASSROOM

Lessons 12.1–12.2

A ratio compares two quantities. The order of numbers in a ratio is important.

Write the ratio of triangles to total shapes.

There are 3 triangles and 6 shapes. �36� or 3:6 or 3 to 6

Ratios can be written in lowest terms. �12� or 1:2 or 1 to 2

Two ratios form a proportion when the cross products are equal.

Write a ratio of the shaded parts to all parts for each circle. Do the ratios form a proportion?

�26� �

13�

2 � 3 � 6 6 � 1 � 66 � 6 ✓ Yes

2––6

1––3

Decide if each pair of ratios forms a proportion. Write Yes or No.

5. �23� �

46� 6. �

18� �1

53� 7. �

45� �

1260�

8. �34� �

12

20� 9. �

35� �1

95� 10. �

1152� �

54�


Name Date

Review • Solving ProportionsCHAPTER 12

153

Find the missing number in each proportion. Check your work.

1. �12� � �3

?0� 2. �

37� � �4

?2� 3. �

58� � �5

?6�

4. �45� � �

2?8� 5. �1

72� � �

3?5� 6. �1

90� � �

7?2�

7. �8?1� � �

89� 8. �7

?� � �4

79� 9. �5

?� � �

2475�

10. �5?6� � �

78� 11. �

1?2� � �

67� 12. �

2?� � �

1683�

Lesson 12.3

Use the cross product to find the missing number in a proportion.

Find the missing number in the proportion. �57� � �

1?0�

Find a cross product. 7 � 10 � 70Divide by the other number. 70�5 � 14Check. 7 � 10 � 5 � 14

70 � 70 ✓The missing number in the proportion is 14.


Review • Multiple Unit PricingCHAPTER 12

154

Name Date

Solve each problem using a proportion. Show and check your work.

1. If 4 shirts sell for $21, how much do 2 shirts cost?

2. Three yards of fabric costs $5. How much will 7 yards of fabric cost?

3. Steak is on sale for $4 per pound. How many pounds of steak can you buy for $14?

4. Five pairs of socks sell for $3.25. How much do 2 pairs of socks cost?

5. Marta made a 22-minute long-distance phone call. Long-distancephone calls cost $.58 for 5 minutes. How much did Marta’sphone call cost?

6. Four boxes of cereal cost $7. How much do 3 boxes of cereal cost?

7. A pound of candy costs $.70. How many pounds of candy canyou buy for $5.25?

Lesson 12.4

You can use a proportion to find prices, or how many items you can buy.

Vegetable soup costs $1.25 for 2 cans. How many cans can youbuy for $3.75?

Set up a proportion and solve. �2$1

c.a2n5s� � �?

$3ca.7n5s�

3.75 � 2 � 7.507.50 � 1.25 � 6 cans

You can buy 6 cans of vegetable soup for $3.75.

Name Date

Practice • Scale DrawingsCHAPTER 12

155

Use the scale drawing of a Clothing Store above to find the actualsizes. Remember that length is the longer wall and width is theshorter wall.

1. width of checkout area 2. length of checkout area

3. length of customer service area 4. width of customer service area

Kenneth is making a scale drawing of rooms in his school.The scale is 1 inch equals 10 feet. Find each distance.

5. scale length of the lunchroom: 7 inches 6. scale length of math classroom: actual length: 3 inches

actual length:

7. actual length of hall: 90 feet 8. actual length of auditorium: 210 feetscale length: scale length:

Lesson 12.5


Customer Service Area

Checkout Area

1 inches

Scale: 1 inch � 12 feet

2 inches

1––2

3 inchesClothing Store

inch1––2

Practice • Problem Solving:Using Proportions

CHAPTER 12

156

Name Date

Solve each problem. Use a proportion. Show and check your work.

1. A train travels 640 miles in 8 hours. How far will it travel in 11 hours?

2. A recipe calls for 3 cups of flour for 2 loaves of pumpkin bread.How many cups of flour are needed for 3 loaves of pumpkinbread?

3. A recipe makes 5 servings with 22 ounces of tomatoes. Howmany servings can be made with 55 ounces of tomatoes?

4. A car uses 6 gallons of gasoline to travel 150 miles. How manygallons will be used to travel 225 miles?

5. A printer prints 360 pages in 3 minutes. How long will it take to print 660 pages?

6. For every 15 times at bat, Marco makes 4 hits. Last season, Marco made 24 hits. How many times was he at bat?

7. Apples are on sale at $1.25 for 3 pounds. At this rate, how manypounds can Chris buy for $5?

8. Two pounds of ground beef serves 5 people. How many peoplewill 8 pounds of ground beef serve?

Lesson 12.6


Name Date

On-The-Job Math • CourierCHAPTER 12

157

Use the scale from the map to find the distances Natasha needs toride to deliver packages.

1. Natasha delivers the first package to CD Corner. How far will sheride from the Courier’s Office?

2. The next package is delivered to Carpet Cleaners. How far willNatasha ride from CD Corner?

3. From Carpet Cleaners, Natasha rides to Pediatrics Associates for adelivery. How far will she ride?

4. From Pediatrics Associates, Natasha rides to the Pita Palace forlunch. Then she rides to the Fitton Art Museum. How far will she ride?

5. From the Fitton Art Museum, Natasha goes back to the Courier’sOffice. How far did Natasha travel on this day?

Lesson 12.5


2 inches1––2

2 inches

3––4

4 inches

1––4

1 inches

1––2

1 inches

3––4

1 inches1––4

inch

3 –– 4

inch � 1 mile1––2

3 inches

4 inchesCD Corner

PediatricsAssociates

Courier’sOffice

Carpet Cleaners Fitton ArtMuseum

Pita Palace

Challenge • Drawing PlansCHAPTER 12

158

Name Date

Julio wants to remodel his home. First, he measured the rooms.Then he sketched the floorplan shown below.

Now Julio needs to make a scale drawing of the floor plan on gridpaper. Help Julio make an accurate scale drawing. Use the scale of1 box � 2 feet to redraw the floorplan. Label each room. Thenlabel the length and width of each room on the scale drawing.

Bedroom 1 Bedroom 2

Living room

Bath

Hall

Kitchen

18 ft

4 ft

6 ft

12 ft 10 ft

10 ft10 ft

14 ft

16 ft16 ft

10 ft

Lesson 12.5


Name Date

Chapter 12 Test A • Ratios and ProportionsCHAPTER 12

159

Write each ratio using a ratio sign and a fraction.

1. total letters to vowels in COMPUTER 2. vowels to total letters in AUTOMOBILE


3. �12

50� �

46� 4. �

45� �

3465� 5. �

34� �

1280�

6. �12

36� �1

98� 7. �

23� �

1251� 8. �

3434� �

1126�

Find the missing number in each proportion.

9. �13

20� � �

2?� 10. �1

56� � �4

?8� 11. �

3?0� � �

1156�

12. �673� � �

1?� 13. �2

?7� � �

49� 14. �

1254� � �8

?�

Solve each problem. Use a proportion.

15. If 6 cans cost $3, how much will 24 cans cost?

16. Pens cost 5 for $2. How many pens can you buy with $8?

17. You saved $13 in the past 3 weeks. At the same rate, how much will you save in 12 weeks?

18. Jack packs 32 cartons of cans in 2 hours. At the same rate, howmany cartons can he pack in 7 hours?

19. There are 18 people in 3 vans. How many vans are needed for 30 people?

20. A line on a map is 6 inches long. The scale on the map is 1 inch � 7 miles. How many miles does this line represent?


Chapter 12 Test B • Ratios and ProportionsCHAPTER 12

160

Name Date

Write each ratio using a ratio sign and a fraction.

1. all letters to all vowels in TELEVISION 2. all vowels to all letters in QUARTERBACK


3. �23� �1

92� 4. �

1105� �

46� 5. �

16� �6

84�

6. �14

82� �

37� 7. �2

94� �

1488� 8. �1

62� �1

64�

Find the missing number in each proportion.

9. �1?� � �2

55� 10. �

57� � �4

?2� 11. �

3?� � �2

50�

12. �1?8� � �1

50� 13. �

45� � �

1?6� 14. �

89� � �4

?5�

Solve each problem. Use a proportion.

15. Tanya reads 90 pages in 3 nights. At the same rate, how manypages can she read in 7 nights?

16. Three bars of soap cost $5. How many bars can you buy for $15?

17. The cleaning service washes 6 windows in 50 minutes. At thesame rate, how many windows can be washed in 125 minutes?

18. A recipe calls for 2 cups of flour for 6 muffins. How many muffinscan be made from 5 cups of flour?

19. Exactly 86 beads are needed to make 2 necklaces. How manynecklaces can be made from 215 beads?

20. A line on a map is 5 inches long. The scale on the map is 1 inch � 3 miles. How many miles does this line represent?


Answer Key

Pacemaker® Interactive Classroom Resources CD-ROM for Basic Mathematics© by Pearson Education, Inc./Globe Fearon/Pearson Learning Group. All rights reserved. Answer Key

UNIT 3 OTHER TYPES OF NUMBERS

Chapter 12 Ratios and Proportions151 Vocabulary • Ratios and Proportions1. proportion 2. scale 3. rate 4. scale drawing 5. multiple unit pricing 6. ratio 7. 5 miles/gallon

8. 1 inch/5 miles 9. �13��

39� 10. 2 pages/6 pages

152 Review • Ratio and Proportion

1. 3:8; �38� 2. 10:3; �

130� 3. 1:2; �

12� 4. 3:1; �

31� 5 Yes

6. No 7. Yes 8. No 9. Yes 10. Yes

153 Review • Solving Proportions1. 15 2. 18 3. 35 4. 35 5. 60 6. 80 7. 72 8. 19. 3 10. 64 11. 14 12. 7

154 Review • Multiple Unit Pricing

1. $10.50 2. $11.67 3. 3�12� pounds 4. $1.30

5. $2.55 6. $5.25 7. 7�12� pounds

155 Practice • Scale Drawings1. 18 feet 2. 36 feet 3. 24 feet 4. 6 feet 5. 70 feet6. 30 feet 7. 9 inches 8. 21 inches

156 Practice • Problem Solving: Using Proportions

1. 880 miles 2. 4.5 cups of flour 3. 12.5 servings4. 9 gallons 5. 5.5 minutes 6. 90 times at bat7. 12 pounds 8. 20 servings

157 On-The-Job Math • Courier

1. 8 miles 2. 6 miles 3. 5�12� miles 4. 10 miles

5. 30 miles

158 Challenge • Drawing Plans

159 Chapter 12 Test A • Ratios andProportions

1. 8:3; �83� 2. 3:5; �35� 3. No 4. Yes 5. No 6. Yes 7. No 8. Yes 9. 5 10. 15 11. 32 12. 9 13. 1214. 5 15. $12 16. 20 pens 17. $52 18. 112 cartons 19. 5 vans 20. 42 miles

160 Chapter 12 Test B • Ratios andProportions

1. 2:1; �21� 2. 4:11; �1

41� 3. No 4. Yes 5. No 6. Yes

7. Yes 8. No 9. 5 10. 30 11. 12 12. 9 13. 20 14. 40 15. 210 pages 16. 9 soaps 17. 15 windows 18. 15 muffins 19. 5 necklaces 20. 15 miles

Bedroom 1 Bedroom 2

Living room

Bath

Hall

Kitchen

18 ft

4 ft

6 ft

12 ft 10 ft

10 ft10 ft

14 ft

16 ft16 ft

10 ft

chapter 12 vocabulary ratios and proportions...

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