Question

Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit. The food cost is modeled by the equation 5v + 7f = 28.70, 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 $2.85, what is the approximate price of a pint of veggies? (Round to the nearest cent.)

A.$1.75
B.$2.06
C.$2.39
D.$3.99

Answer 1

A) 5(1.75) + 7(2.85) = 28.70

B) 5(2.06) + 7(2.85) = 30.25

C) 5(2.39) + 7(2.85) = 31.90

D) 5(3.99) + 7(2.85) = 39.90

So A Is the correct answer.

Answer 2

5v + 7f = 28.70

Given the cost of each pint of fruit is $2.85, find the cost or 1 pint of cut veggie:

Plug f = 2.85 into the equation

5v + 7( 2.85) = 28.70

5v + 19.95= 28.70

5v = 28.70 - 19.95

5v = 8.75

v = $1.75

Answer: (A) $1.75