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.)

Answer 1

Cost of each pint of veggies is &=$1.75

Explanation:

Given:-Total cost of fruit and veggies = $28.70

Total pints of cut veggies = 5,

Total pints of cut fruits = 7.

given equation is:- 5v+7f=28.70,

where v represents the cost of 1 pint of cut veggies and f represents the cost of 1 pint of cut fruits.

Cost of each pint of cut fruit (f) = $2.85.

To find:- Approximate price of a pint of veggies= ?

Solution:-

The given equation is,

`5v+7f=28.70`

Now, substituting the value of each pint of cut fruit (f) in the above equation,

`5v+(7*2.85)=28.70`

`5v+19.95=28.70`

`5v=28.70-19.95`

`5v=8.75`

`v=(8.75)/(5)`

`\therefore v=1.75`

Therefore cost of each pint of veggies is &=$1.75