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Asked: 2022-04-10T03:25:29+00:00 In:

Jim ordered a sports drink and three slices of pizza

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Question:

Jim ordered a sports drink and three slices of pizza for $8.50.

His friend ordered two sports drink and two slices of pizza for $8.00.

=> Applying system of equations

♦ Relevant knowledge
An set of mathematical equations that are based on two variable that are xx as well as yy comprises at least two equations each one of which involves both variables.

Solving the system involves finding the values of every variable that meet the requirements of all the equations of the system at once. Solutions can be expressed as two orderly pair or that is, (x,y)(x,y), that determines the exact location of a particular point on the Cartesian plane.

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  1. Best Answer

    The answer:

    • The cost of a drink is $1.75
    • the cost of a pizza slice is $2.25

    Step-by-step explanation:

    Let d and p represent the costs of a drink and a pizza slice, respectively. The two orders have a value …

    d + 3p = 8.50

    2d + 2p = 8.00

    Subtracting the second equation from twice the first gives …

    2(d +3p) -(2d +2p) = 2(8.50) -(8.00)

    4p = 9.00 . . . . . simplify

    p = 2.25 . . . . . . divide by 4

    Solving the first equation for d and putting in the value, we have

    d = 8.50 -3p = 8.50 -3·2.25 = 8.50 -6.75

    d = 1.75

    So, the cost of a drink is $1.75; the cost of a pizza slice is $2.25.

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