85
QuizMultiple Choice

N/A — Exam

Question 85 • Algebra II

A store sells the basic model of a phone for 60 dollars and the upgraded model for 200 dollars It costs the store 10 dollars to buy each basic model and 50 dollars to buy each upgraded model from the phone company. On Tuesday, the store has 1 dollars comma 800 in sales for these two models, and it paid the phone company 400 dollars to buy these phones. How many upgraded models did the store sell on Tuesday?

Answer
A
15 upgraded phones
B
10 upgraded phones
C
6 upgraded phones
D
42 upgraded phones

Explanation

Let b be the number of basic phones and u the number of upgraded phones. The store’s purchase cost gives 10b + 50u = 400, or b + 5u = 40; its sales give 60b + 200u = 1,800, or 3b + 10u = 90. Substituting b = 40 − 5u into the sales equation gives 3(40 − 5u) + 10u = 90, so u = 6. The store sold 6 upgraded phones.

AI-written and checked against the verified answer.

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