8
QuizMultiple Choice

Writing and Solving Equations in Two Variables — Quiz

Question 8 • Mathematics I

Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of 28 point 7 0 dollars on 5 pints of cut veggies and 7 pints of cut fruit. The food cost is modeled by the equation 5 v plus 7 f is equal to 28 point 7 0 , where v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit. If the cost of each pint of fruit is 2 point 8 5 dollars , what is the approximate price of a pint of veggies? (Round to the nearest cent, as needed.)

Answer
A
1 point 7 5 dollars
B
2 point 0 6 dollars
C
3 point 9 9 dollars
D
2 point 3 9 dollars

Explanation

Substitute the fruit price, $2.85, into the equation: 5v + 7(2.85) = 28.70. The fruit costs 7 × $2.85 = $19.95, leaving $28.70 − $19.95 = $8.75 for the veggies. Divide by 5 pints: $8.75 ÷ 5 = $1.75 per pint, so the correct choice is $1.75.

AI-written and checked against the verified answer.

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