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, as needed.)
○ $1.75
○ $2.06
○ $2.39
○ $3.99

Explanation:

Step1: Substitute f value

Given \( f = 2.85 \), substitute into \( 5v + 7f = 28.70 \):
\( 5v + 7(2.85) = 28.70 \)

Step2: Calculate 7f

Compute \( 7 \times 2.85 = 19.95 \), so:
\( 5v + 19.95 = 28.70 \)

Step3: Isolate 5v

Subtract 19.95 from both sides:
\( 5v = 28.70 - 19.95 = 8.75 \)

Step4: Solve for v

Divide by 5:
\( v = \frac{8.75}{5} = 1.75 \)

Answer:

\$1.75