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.)
$1.75
$2.06
$2.39
$3.99

Answer 1

Your answer is $1.75

5v + 7f          = 28.70
5v + 7(2.85)  = 28.70
5v + 19.95    = 28.70
5v                  = 28.70 - 19.95
5v                  = 8.75
v                   = 8.75 / 5
v                   = $1.75

To check: 5(1.75) + 7(2.85) = 8.75 + 19.95 = 28.70

Answer 2

The answer is $1.75 :)