High School

A company produces four combinations of frozen fruit for smoothies that sell in 16-oz packages.

1. Triple Berry:
- 6 oz of strawberries
- 5 oz of raspberries
- 5 oz of blueberries

2. Summer Blend:
- a. 8 oz of strawberries, 4 oz of mango, and 4 oz of pineapple
- b. 6 oz of strawberries, 3 oz of mango, and 5 oz of pineapple
- c. 7 oz of strawberries, 4 oz of mango, and 5 oz of pineapple
- d. 5 oz of strawberries, 6 oz of mango, and 5 oz of pineapple

Answer :

Final answer:

The mathematics question at the middle school level pertains to calculating the quantities of different fruits in smoothie combinations, with examples including a Triple Berry mix and several Summer Blend options, all aiming for a total of 16 oz. It also reviews the relationships and conversions related to a simple smoothie recipe and the scaling of ingredients for larger quantities.

This correct answer is none of the above.

Explanation:

The question involves calculating the quantity of ingredients needed to make different combinations of frozen fruits for smoothies, which is a mathematical problem specifically related to ratios and proportions. This can be considered a middle school level math question as it pertains to fundamental arithmetic operations and understanding of measurements.

Review of Smoothie Recipes

For the Triple Berry smoothie combination, the package includes:

6 oz of strawberries

5 oz of raspberries

5 oz of blueberries

Each Summer Blend option combines strawberries, mango, and pineapple to sum up to 16 oz:

8 oz strawberries, 4 oz mango, and 4 oz pineapple

6 oz strawberries, 3 oz mango, and 7 oz pineapple

7 oz strawberries, 4 oz mango, and 5 oz pineapple

5 oz strawberries, 6 oz mango, and 5 oz pineapple

To answer the sample questions:

The balanced relationship in a smoothie with 1 banana, 4 strawberries, 1 container of yogurt, and 3 ice cubes could be written as B + 4St + Y + 3Ic = 1 smoothie.

The conversion factor between ice cubes and smoothies is 3 ice cubes per 1 smoothie.

To make 12 smoothies, you would need 4 strawberries imes 12 smoothies = 48 strawberries.

This correct answer is none of the above.