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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.)

Respuesta :

jitushashi56

Answer:

Cost of each pint of veggies is &=$1.75

Step-by-step 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,

[tex]5v+7f=28.70[/tex]

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

[tex]5v+(7\times2.85)=28.70[/tex]

[tex]5v+19.95=28.70[/tex]

[tex]5v=28.70-19.95[/tex]

[tex]5v=8.75[/tex]

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

[tex]\therefore v=1.75[/tex]

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