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.)
(7 x 2.85) + 5v = 28.70. 19.95 + 5v = 28.70. 5v = 28.70 - 19.95. 5v = 8.75. v = 8.75/5. v = 1.75. A pint of veggies costs $1.75.
The approximate price of a pint of cut fruits that was bought by Chen is $2.06.
Given this equation: 5v + 7f = 28.70 and the price of one pint of cut veggies, take the following steps to determine the answer:
Substitute for the value of v in the equation: 5(2.85) + 7f = 28.70
14.25 + 7f = 28.70
Combine similar terms: 28.70 - 14.25 = 7f
Add similar terms: 14.45 = 7f
Divide both sides by 7: f = $2.06
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