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 5 v plus 7 f equals 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 :

The linear equation for the veggies is equated below, kindly follow through the steps of computation.

The approximate price of a pint of veggies is $1.75

The equation:

[tex]5v + 7f =28.70[/tex] ⇒ [tex](1)[/tex]

[tex]f = 2.85[/tex] ⇒ [tex](2)[/tex]

[tex]\text{Where,}\\\\\text{v = The cost of one pint of cut veggies}\\\\text{f = The cost of one pint of cut fruit}\\[/tex]

The Computation:


[tex]5v + 7 (2.85) = 28.70\\\\5v + 19.95 = 28.70\\\\5v = 28.70-19.95\\\\5v=8.75\\\\v=\frac{8.77}{5}\\\\v= 1.75 \text{ dollars}[/tex]

Therefore, If a pint of fruit costs $2.85, a pint of vegetables will cost approximately $1.75.

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