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.)

Respuesta :

Answer:

$1.75

Step-by-step explanation:

Your question is already answered buddy.

Answer:

price of a pint of veggies is $1.75

Step-by-step explanation:

Chen spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit.

If v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit.

So food cost will be modeled by the equation

5v + 7f = $28.70

Now the cost of each pint of fruit has been given as $2.85 and we have to calculate the price of each pint of veggies.

We put the value f = $2.85 in the equation.

5v + 7(2.85) = 28.70

5v + 19.95 = 28.70

5v = 28.70 - 19.95

5v = 8.75

v = [tex]\frac{8.75}{5}=1.75[/tex]

Therefore, price of a pint of veggies is $1.75