Your friends in class want you to make a run to the vending machine for the whole group. Everyone pi

Discussion in 'Calculator Requests' started by math_celebrity, Jun 15, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Your friends in class want you to make a run to the vending machine for the whole group. Everyone pitched in to make a total of $12.50 to buy snacks. The fruit drinks are $1.50 and the chips are $1.00. Your friends want you to buy a total of 10 items. How many drinks and how many chips were you able to purchase?

    Let c be the number of chips. Let f be the number of fruit drinks. We're given two equations:
    1. c + f = 10
    2. c + 1.5f = 12.50
    Rearrange equation 1 by subtracting f from both sides:
    1. c = 10 - f
    2. c + 1.5f = 12.50
    Substitute equation (1) into equation (2):
    10 - f + 1.5f = 12.50

    To solve for f, we type this equation into our search engine and we get:
    f = 5

    Now, substitute this f = 5 value back into modified equation (1) above:
    c = 10 - 5
    c = 5
     

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