chen is bringing fruit and veggies to serve at an afternoon meeting. he spends a total of $28.70 on 5 pints…

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.)\n$1.75\n$2.06\n$2.39\n$3.99

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.)\n$1.75\n$2.06\n$2.39\n$3.99

Answer

Explanation:

Step1: Substitute the value of f

Given $f = 2.85$, substitute into $5v + 7f=28.70$. We get $5v+7\times2.85 = 28.70$.

Step2: Calculate the product

$7\times2.85=19.95$, so the equation becomes $5v + 19.95=28.70$.

Step3: Isolate the term with v

Subtract 19.95 from both sides: $5v=28.70 - 19.95$. $5v=8.75$.

Step4: Solve for v

Divide both sides by 5: $v=\frac{8.75}{5}=1.75$.

Answer:

A. $1.75$