You open a drink stand where you sell coffee and hot chocolate. You sell coffee for $1.80 and hot chocolate for $3.15. At the end of the day

Question

You open a drink stand where you sell coffee and hot chocolate. You sell coffee for $1.80 and hot chocolate for $3.15. At the end of the day, you sold 120 cups and the total money you earned was $284.40. How many of each type of drink did you sell?

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Huyền Thanh 4 years 2021-08-26T11:33:13+00:00 1 Answers 18 views 0

Answers ( )

  1. niczorrrr
    0
    2021-08-26T11:34:24+00:00
    Reply

    Answer:

    c = 69 and h = 51

    Step-by-step explanation:

    You will need two different equations here

    use variable c as coffee and variable h as hot chocolate

    c + h = 120

    1.80c + 3.15h = 284.40

    By moving variables, you can alter the first equation

    h = 120 – c

    Now insert this into the second equation

    1.80c + 3.15(120 – c) = 284.40

    Multiply

    1.80c + 378 – 3.15c = 284.40

    Subtract the c

    -1.35c + 378 = 284.40

    Subtract 378 from both sides

    -1.35c = -93.6

    Divide both sides by -1.35

    c = 69

    Then plug into the first equation

    69 + h = 120

    Subtract 69

    h = 51

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