Question

Chen is bringing fruit and veggies to serve at an what is the value of a in the equation 5 a minus 10 b equals 45, when b equals 3? 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.)

Answer 1

The approximate price of a pint of veggies is $1.75 when rounding to the nearest cent, calculated using the given equation and the cost of fruit per pint.

Step-by-step explanation:

To solve for the approximate price of a pint of veggies, we use the given equation 5v + 7f = 28.70, where v represents the cost of vegetables per pint and f represents the cost of fruit per pint. Given that each pint of fruit costs $2.85, we can plug this value into the equation in place of f and solve for v.

The equation becomes 5v + 7(2.85) = 28.70. Now calculate the total cost of the fruit:

7 pints × $2.85/pint = $19.95 spent on fruit

Subtracting this amount from the total gives us the amount spent on vegetables:

$28.70 - $19.95 = $8.75 spent on veggies

There were 5 pints of veggies, so to find the cost per pint, divide the total cost by the number of pints:

$8.75 ÷ 5 pints = $1.75 per pint of veggies (rounded to the nearest cent)