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 , 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.)

Answer 1

Answer:

v = $1.75

Step-by-step explanation:

5V + 7f = $28.70

f = $ 2.85

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

Answer 2

Given :

Number of pints of cut veggies = 5

Number of pints of cut fruits = 7

Total amount = $28.70

Cost of each pint of fruit = $2.85

To find : Cost price of a pint of veggies = ?

Solution :

Let v be the cost of one pint of cut veggies.

Let f be the cost of one pint of cut fruit.

So, according to question, it becomes:

$5v+7f=28.70\\\\5v+7\times 2.85=28.70\\\\5v+19.95=28.70\\\\5v=28.70-19.95\\\\5v=8.75\\\\v=\dfrac{8.75}{5}=1.75$

Hence, the price of pint of veggies is approximately $2.