Short Answer
In a survey, Eric, the team manager, asked the 120 soccer players in the league which drink they preferred during and after the game.
Drink
Gatorade
Ocean Spray
Evian Water
During Game
70
10
40
After Game
10
80
30
1. Write mathematical comparison statements about player drink preferences during the game. a.
One statement using ratios b.
One statement using percents
2. Write mathematical comparison statements about player drink preferences after the game. a.
One statement using fractions b.
One statement using differences
3. a.
Write a ratio to describe the number of players who prefer Gatorade to Evian Water during the game. b.
Write an equivalent form of the ratio.
4. Ricardo, the soccer league director, made the following statements based on Eric’s survey. Which statements are accurate? Explain how you made each decision. a.
During the game, players prefer Ocean Spray to Evian Water by a ratio of 4 to 1. b.
25% of the players prefer Evian Water after the game. c.
More than half of the players prefer Gatorade during the game.
Multiple Choice
Identify the choice that best completes the statement or answers the question.
5. Marie saved $51. On Wednesday, she spent $8 of her savings. What ratio represents the portion of her total savings that she still has left? a. 43 : 8 b. 8 : 51 c. 43 : 51 d. 59 : 51

SHORT ANSWER
1. ANS: a.
Possible answer: Students prefer Evian Water to Ocean Spray during the game by a ratio of 40 to 10 or 4 to
1. b.
Possible answer: 58.3% of the students prefer Gatorade to the other drinks during the game.
OBJ: Investigation 1: Making Comparisons
TOP: Problem 1.1 Exploring Ratios and Rates
STA: 7AL 11 | 7AL 11a | 7AL 11b
2. ANS: a.
Possible answer: of the students prefer Ocean Spray to the other drinks after the game. b.
Possible answer: 20 fewer students prefer Gatorade to Evian Water after the game.
OBJ: Investigation 1: Making Comparisons
TOP: Problem 1.1 Exploring Ratios and Rates
STA: 7AL 11 | 7AL 11a | 7AL 11b
3. ANS: a.
70 to 40 b. 35 to 20 or 140 to 80 or 175 to 100
OBJ: Investigation 2: Comparing Ratios Percents and Fractions
STA: 7AL 11 | 7AL 11b TOP: Problem 2.2 More Comparison Strategies
4. ANS: a.
Not accurate. Should be 10 to 40 or 1 to 4 OR Students might say that the order of the ratio should be switched to “Evian Water to Ocean Spray”. b. Accurate. c. Accurate.
OBJ: Investigation 2: Comparing Ratios Percents and Fractions
STA: 7AL 11 | 7AL 11b TOP: Problem 1.2 Analyzing Comparison Statements
MULTIPLE CHOICE
5. ANS: C OBJ: Investigation 1: Making Comparisons
STA: 7AL 11 | 7AL 11a | 7AL 11b TOP: Problem 1.3 Writing Comparison Statements
Short Answer
1. So far this year, the University of North Carolina Tar Heels have won 22 games and lost 5 games.

a.
If they continue at the same pace and lose 45 games, how many will they have won? b.
What is an appropriate comparison to make between the number of games won and the number of games lost? Explain your reasoning for the type of comparison you chose.
2. Betty and Derek are making punch for a class party. The directions on the liquid punch mix say to use 3 cups of mix for every 7 cups of water. Betty and Derek want to make enough punch so that each of the 25 people at the party can have 2 cups. a. How many cups of punch mix will Betty and Derek need to use? Explain your reasoning. b. How many cups of water will Betty and Derek need to use? c.
Betty and Derek want to put the punch in bowls that hold 20 cups each. How many bowls will they need?
3. Brice found three recipes for blueberry syrup. Of the ingredients, the ingredients only differed on the amount of blueberries and sugar:
Classic Blueberry syrup: 6 cups blueberries and 2 cups sugar
Homestyle Blueberry syrup: 2 cups blueberries and 1/2 cup sugar
Country Blueberry syrup: 20 cups blueberries and 7 cups sugar
Which recipe will be the sweetest? Explain your reasoning.
Multiple Choice
Identify the choice that best completes the statement or answers the question.
4. A car travels 136 miles using 7 gallons of gas. At that rate, how far can the car travel using 42 gallons of gas? a. 1,224 mi b. 816 mi c. 952 mi d. 1,088 mi
5. Write three ratios equal to . a. , , b. , , c. , , d. , ,

SHORT ANSWER
1. ANS: a.
198 b.
Ratio, percent, fraction, or difference may be used as long as explanation is reasonable.
OBJ: Investigation 2: Comparing Ratios Percents and Fractions
STA: 7AL 11 | 7AL 11b TOP: Problem 2.3 Scaling Ratios
2. ANS: a.
3 cups of mix and 7 cups of water make 10 cups of punch. To make 50 cups of punch, they need 5 times each ingredient. So 5

3 = 15 cups of mix are needed. b.
There are 7 cups of water per 10 cups of punch. So to make 50 cups of punch, they need 35 cups of water. c.
3
OBJ: Investigation 2: Comparing Ratios Percents and Fractions
STA: 7AL 11 | 7AL 11b TOP: Problem 2.1 Developing Comparison Strategies
3. ANS:
Possible answer: The sweetest is the ratio with the least number of cups of blueberries per cup of sugar.
6:2 = 3:1
2: = 4:1
20:7 is less than 3:1 (since 3:1 = 21:1); 20:7 = 6 : 1
The recipe with the least amount of blueberries per cup of sugar is the Country recipe.
OBJ: Investigation 2: Comparing Ratios Percents and Fractions
STA: 7AL 11 | 7AL 11b TOP: Problem 2.1 Developing Comparison Strategies
MULTIPLE CHOICE
4. ANS: B OBJ: Investigation 2: Comparing Ratios Percents and Fractions
STA: 7AL 11 | 7AL 11b TOP: Problem 2.3 Scaling Ratios
5. ANS: B OBJ: Investigation 2: Comparing Ratios Percents and Fractions
STA: 7AL 11 | 7AL 11b TOP: Problem 2.3 Scaling Ratios