1ACE Exercise 1. Name Date Class

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1 ACE Exercise Investigation. In a comparison taste test of two drinks, 780 students preferred Berry Blast. Only 0 students preferred Melon Splash. Complete each statement. a. There were more people who preferred BERRY BLAST. HINT How many people preferred Berry Blast and how many preferred Melon Splash? b. In the taste test, % of the people preferred BERRY BLAST. HINT What was the total number of students who participated in the taste test? c. People who preferred BERRY BLAST outnumbered those who preferred Melon Splash by a ratio of to. HINT Remember that a ratio is a comparison. The problem is asking you to compare students who preferred Berry Blast to students who preferred Melon Splash by writing a ratio. 85

2 ACE Exercise Investigation. Compare these four mixes for apple juice. HINT Concentrate is the fruit substance that is left when water is removed from juice. When water is added back to the, fruit juice is made. Mix W Mix X 5 cups 8 cups cups 6 cups Mix Y Mix Z 6 cups 9 cups cups 5 cups a. Which mix would make the most appley juice? HINT What would make a juice more appley? Do parts (b) and (c) first to help you answer this question. b. Suppose you make a single batch of each mix (W, X, Y, and Z). What fraction of each batch is? HINT What is the total number of cups added to each batch? b. Mix W: Mix X: b. Mix Y: Mix Z: 86

3 ACE Exercise (continued) Investigation c. Rewrite your answers to part (b) as percents. b. Mix W: Mix X: b. Mix Y: Mix Z: d. Suppose you make only cup of Mix W. How much water and how much do you need? HINT For Mix W, the current batch makes cups (5 cups plus 8 cups water). What fraction of the mix is? What fraction of the mix is water? How can you then determine how much and water you need to get only total cup (make cup)? For example, the current recipe for Mix X makes 9 cups. (or %) of the mix is 9 6 and (or 66 %) of the mix is 9 water. To make one cup of Mix X, you will need the ratio. So, you need % of the cup to be and 66 % of the cup to be water. 87

4 ACE Exercises and. Maralah can drive her car 580 miles at a steady speed using 0 gallons of gasoline. Complete the rate table showing the number of miles her car can be driven at this speed. Investigation Maralah s Driving Distance Gallons Miles Driven Joel can drive his car 50 miles at a steady speed using 5 gallons of gasoline. Complete the rate table showing the number of miles his car can be driven at this speed. Joel's Driving Distance Gallons Miles Driven

5 ACE Exercise Investigation. Swimming of a mile uses about the number of Calories as running mile. a. Gilda ran a 6-mile marathon. About how far would her sister have to swim to use the number of Calories Gilda used during the marathon? HINT You can first fill out a table that compares the miles of swimming to the miles of running that burn the number of Calories. Swimming = =... Running Calories Burned HINT For every mile Gilda runs, her sister only has to swim of a mile to burn the number of Calories (a ratio of to ). If Gilda runs miles, her sister only needs to swim of a mile (a ratio of to ). 89

6 ACE Exercise (continued) Investigation b. Juan swims 5 miles a day. About how many miles would he have to run to use the number of Calories used during his swim? Swimming = = 5 Running 8 Calories Burned HINT Remember for every mile Juan swims, he would need to run mile to use the number of Calories. 90

7 Unit Test. There are 6 pretzels in a 6-ounce bag of chocolate-covered pretzels. a. Write and solve a proportion that you can use to find the number of chocolate covered pretzels in a 5-ounce bag. a. What is the ratio of pretzels to ounces for the given bag? a. Use your ratio to write a proportion for the two bags. a. Solve the proportion to find the number of pretzels in a 5-ounce bag. b. What is the number of chocolate covered pretzels per ounce? Show what you did to figure this out. c. How many ounces does each pretzel weigh? 9