3
QuizMultiple Choice

Systems of Equations and Inequalities — Test

Question 3 • Algebra 2 with Probability

A small organic food store makes two types of fruit smoothies: tropical and sport. Each tropical smoothie uses 9 oz of orange juice and 6 oz of milk. Each sport smoothie uses 3 oz of orange juice and 3 oz of milk. The store buys the orange juice in a 210 -oz container and milk in a 150 -oz container. The store sells the tropical smoothies for 4 dollars and sells the sport smoothie for 3 dollars What is the maximum in smoothie sales the store can make from 1 container each of orange juice and milk?

Answer
A
110 dollars
B
100 dollars
C
280 dollars
D
150 dollars

Explanation

Let x be the number of tropical smoothies and y the number of sport smoothies. The ingredient limits give 3x + y ≤ 70 for orange juice and 2x + y ≤ 50 for milk; sales are 4x + 3y dollars. Making 50 sport smoothies uses 150 oz of milk and 150 oz of orange juice, earning $150. The intersection of both ingredient limits is 20 tropical and 10 sport smoothies, which earns only $110, so the maximum is $150, choice D.

AI-written and checked against the verified answer.

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