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.)

$1.75
$2.06
$2.39
$3.99

Answer 1

Answer: First Option

The approximate price of a pint of veggies is $1.75

Explanation:

if v represents the cost of a pint of cut vegetables and f represents the cost of a pint of cut fruits then the equation that models the cost of "v" vegetables and "f" fruits is:

`hv + 2.85f = z`

Where z represents the total cost of buying "v" vegetables and a "f" pints of fruits.

h represents the cost of a pint of cut vegetables .

We know that the cost "z" of 5 vegetables pints and 7 fruits pints is $ 28.70

So:

`v = 5\\f = 7\\z = 28.70`

We substitute these values ​​into the equation and solve for h.

`h(5) + 2.85(7) = 28.70\\\\5h=28.70-2.85(7)\\\\5h=28.70-19.95\\\\5h=28.70-19.95\\\\h=(8.75)/(5)\\\\h=\$\ 1.75`