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

Mathematics

Jan Wells

23 April, 06:42

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.)

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Answers (1)

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Shania Brady · Answer 1

The price of a pint of veggies is $1.75

Step-by-step explanation:

* Lets change the story problem to equations and solve them to find

the answer

- 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 + 7 f = 28.70, where

v represents the cost of one pint of cut veggies and f represents

the cost of one pint of cut fruit

∴ The first equation is 5 v + 7 f = 28.70 ⇒ (1)

- The cost of each pint of fruit is $2.85

∵ f represents the cost of one pint of cut fruit

∴ f = 2.85

- Substitute the value of f in equation (1) to find the value of v

∵ 5 v + 7 f = 28.70 ⇒ (1)

∵ f = 2.85

∴ 5 v + 7 (2.85) = 28.70

∴ 5 v + 19.95 = 28.70

- Subtract 19.95 from each side

∴ 5 v = 8.75

- Divide both sides by 5

∴ v = 1.75

∵ v represents the cost of one pint of cut veggies

∴ The price of a pint of veggies is $1.75