Write the ratio as a fraction in simplest form. Then explain its meaning.

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1 1. Write the ratio as a fraction in simplest form. Then explain its meaning. The ratio of flutes to drums is. This means that for every 2 flutes, there is 1 drum. 2. The ratio of sandwiches to milk cartons is. This means that for every 2 sandwiches, there are 5 milk cartons. esolutions Manual - Powered by Cognero Page 1

2 3. A class has 6 boys and 15 girls. What is the ratio of boys to girls? The ratio of boys to girls is. This means that for every 2 boys, there are 5 girls. 4. The table shows the number of books Salvador has read. Find the ratio of mystery books to the total. Explain its meaning. The total number of books Salvador has read is = 24. Salvador read 10 mystery books. The ratio of the number of mystery books to the total number of books Salvador has read is means that 5 out of every 12 books Salvador read was a mystery., 5 to 12, or 5:12. This esolutions Manual - Powered by Cognero Page 2

3 5. Divide 33 photos into two groups so the ratio is 4 to 7. Use a bar diagram. There are 11 equal sections. So, each section represents or 3 photos. There are 12 photos in the first group and 21 photos in the second group. 6. Model with Mathematics Refer to the graphic novel frame below for Exercises a b. a. For each store, what is the ratio of the number of cans to the price? b. What would be the ratio of the number of cans to the price at Super Saver and Price Busters if a coupon for $1 off the total purchase is used? a. Super Saver: The total number of cans is 12 4 = 48. The total price is $10. esolutions Manual - Powered by Cognero Page 3

4 Shop Smart: The total number of cans is 24 2 = 48. The total price is $9. Price Busters: The total number of cans is 12 3 = 36. The total price is $9. b. Super Saver: Price Busters: esolutions Manual - Powered by Cognero Page 4

5 7. Use Math Tools The graph shows the number of Wimbledon championships of several countries. a. Write the ratio that compares the championships won by Australia to the total number won by the United States in simplest form. Then explain its meaning. b. Write the ratio that compares the championships won by Australia to the total number of championships. Then explain its meaning. a., 2 to 5, or 2:5; From , for every 2 championships won by Australia, the United States has won 5. b., 6 to 41, or 6:41; Between 1968 and 2012, the Australians have won 6 of the 41 championships. 8. Model with Mathematics Create three different drawings showing a number of rectangles and circles in which the ratio of rectangles to circles is 3:1. Sample Answer: esolutions Manual - Powered by Cognero Page 5

6 9. Persevere with Problems Find the missing number in the following pattern. Explain your reasoning. 12, 24, 72, 288, The ratios of successive numbers are: So, the ratio of 288 to the missing number should be. To find the missing number, multiply 288 by = 1, Persevere with Problems The table shows how Levon spends his time at the gym. Over the course of a week, he wants to spend 600 minutes at the gym. How much more time will he spend lifting weights than on the treadmill? Explain your reasoning. 100 min; He spends 60 minutes on the treadmill and lifting weights. The ratio of time he spends on the treadmill is 25:60 or 250:600. So, he will spend 250 minutes on the treadmill and 350 minutes lifting weights. He will spend or 100 more minutes Write the ratio as a fraction in simplest form. Then explain its meaning. 11. There are 2 triangles and 8 rectangles. The ratio is. esolutions Manual - Powered by Cognero Page 6

7 12. There are 6 soccer balls and 10 footballs. The ratio is. 13. An animal shelter has 36 kittens and 12 puppies available for adoption. What is the ratio of puppies to kittens? The ratio of puppies to kittens is. This means that for every 1 puppy, there are 3 kittens available for adoption. 14. Find the ratio of black cell phone covers sold to the total number of cell phone covers sold last week. Then explain its meaning. The total number of cell phone covers sold is = 18. There were 4 black cell phone covers sold. The ratio of the number of black cell phone covers sold to the total number of cell phone covers sold last week is, 2 to 9, or 2:9. This means that 2 out of every 9 cell phone covers sold last week was black. esolutions Manual - Powered by Cognero Page 7

8 15. On the first day of the food drive, Mrs. Teasley s classes brought in 6 cans of fruit, 4 cans of beans, 7 boxes of noodles, and 4 cans of soup. Find the ratio of cans of fruit to the total number of food items collected. Then explain its meaning. The total number of food items collected is = 21. There are 6 cans of fruit. The ratio of the number of cans of fruit to the total number of food items collected is that 2 out of every 7 food items donated was a can of fruit., 2 to 7, or 2:7. This means 16. The rise and span for a roof are shown. The pitch of a roof is the ratio of the rise to the half-span. If the rise is 8 feet and the span is 30 feet, what is the pitch in simplest form? The pitch is. esolutions Manual - Powered by Cognero Page 8

9 17. Justify Conclusions Debra found that 6 of the 24 students in her class own a cell phone. What is the ratio of students that own a cell phone to students that do not? Explain your reasoning to a classmate. The number of students who do not own a cell phone is 24 6 = 18. The number of students who own a cell phone is 6. The ratio of students that own a cell phone to students that do not is, 1:3, or 1 to At a putt-putt course there are 50 yellow golf balls, 45 red golf balls, 65 blue golf balls, 40 orange golf balls, and 60 green golf balls. Select the correct ratio to complete the table. Comparison Ratio Comparison Ratio yellow to red red to green yellow to green orange to yellow green to blue orange to blue Comparison Ratio Comparison Ratio yellow to red 10:9 red to green 3:4 yellow to green 5:6 orange to yellow 4:5 green to blue 12:13 orange to blue 8:13 esolutions Manual - Powered by Cognero Page 9

10 19. The table shows the number of each type of sports card that Jaclyn has collected. Write a ratio in simplest form that compares the number of basketball cards to the total number of cards. First, find the total number of cards Find the equivalent fraction. 20. Since 7 3 = 21, multiply 3 by 3. The numerator is Since 6 4 = 24, multiply 1 by 4. The numerator is 4. Since 4 7 = 28, multiply 5 by 7. The denominator is The Sanchez family is going on vacation. If they drive for 3 hours at the posted speed, how many miles will they travel? To find the total number of miles they will travel, multiply 65 by = 195 So, the Sanchez family will travel 195 miles. esolutions Manual - Powered by Cognero Page 10

11 24. Everett made of the baskets he shot. Suppose he shot 60 baskets. How many did he make? Multiply by 60. He made 36 baskets. 25. There are 36 students in Mrs. Keaton s sixth grade class. If of her students are girls, how many girls are in the class? Multiply 36 by. There are 15 girls in the class. esolutions Manual - Powered by Cognero Page 11