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15 March, 10:33

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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  1. 15 March, 10:44
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    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
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