Anoka Ramsey Community College Algebra Total Number Calculating Exercises

Math Questions: Work on all problems.

Amber makes a batch of a summer soft drink for her neighborhood party. The recipe calls for 224 ounces (oz) of fruit juice and 336 oz of fizzy water.

1. How many 8 oz servings are in Amber’s batch? Show or explain how you determined the number of servings.

2. In each 8 oz serving of Amber’s soft drink, how many ounces are fruit juice? Show or explain how you determined the number of ounces.

3. How many ounces of fruit juice are needed for every 1 ounce of fizzy water in Amber’s recipe?

4. How many ounces of fizzy water are needed for every 1 ounce of fruit juice in Amber’s recipe?

5. Amber will make a smaller batch of the summer soft drink for the math department party. In this batch, she will use 48 ounces of fruit juice. To keep the taste the same, how many ounces of fizzy water should Amber use in this batch?

Show or explain how you determined the number of ounces. Note – I just don’t get how or why cross multiplication works, so if you use that approach, explain how the rates and ratios are connected in there…better yet, find and use a different approach

Directions: Work each problem on a piece of paper and label each item. Show your thinking on the problems. Solutions without thinking or process shown will receive minimal credit. Complete this test independently – we want to know how you approach these problems.

Problem set:

1. Amber makes a batch of a summer soft drink for her neighborhood party. The recipe calls for 224 oz of fruit juice and 336 oz of fizzy water.

a. What is the ratio of fruit juice to fizzy water in Amber’s punch?

b. Write an equation that relates the number of ounces of fruit juice to the number of ounces of fizzy water in Amber’s punch.

2. In 8 ounces of a popular sports drink, there are 48 calories. In 16 ounces, there are 96 calories. How many calories are in 20 ounces of the sports drink? Solve this problem two different ways.

3. Cassie is ordering pizza for a neighborhood block party. She estimates that 3 pizzas will be enough for 10 people. How many pizzas should Cassie order for 60 people? Solve this problem two different ways.

4. Lisbon’s new car can travel 45 miles on 1 gallon of gasoline.

a. At this rate, how far can the car travel on 7 gallons of gasoline?

b. At this rate, how many gallons of gasoline does it take to drive 1 mile?

c. Write an equation that defines the number of gallons, “g,” of gasoline that the car would use at this rate if the car traveled ‘’m’’miles