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.)
Question
Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of 2.85, what is the approximate price of a pint of veggies? (Round to the nearest cent, as needed.)
Solution
To find the cost of one pint of cut veggies, we can substitute the cost of one pint of fruit into the equation and solve for v.
Given that f = $2.85, we have:
5v + 7(2.85) = 28.70
Simplifying the equation, we have:
5v + 19.95 = 28.70
Subtracting 19.95 from both sides, we get:
5v = 8.75
Dividing both sides by 5, we find:
v = 1.75
Therefore, the approximate price of a pint of veggies is $1.75.
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