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ALgebra word problem

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a coffee shop sells a cup of espresso for $2.00 and a cup of cappuccino for 2.50. on friday, rachel sold 30 more cups of cappuccino than espresso, and she sold $178.50 worth of espresso and cappuccino together. how many cups of each were sold?

  • ALgebra word problem - ,

    x espresso and y cappuccino

    for x ----- 2 x dollars
    for y ----- 2.5 y dollars
    so
    2x + 2.5 y = 178.5
    but
    y = 30 + x
    so
    2x + 2.5(30+x) = 178.5

  • ALgebra word problem - ,

    2e+2.5c=178.50 c=30+e
    2e+2.5(30+e)=178.5
    2e+75+2.5e=178.5
    4.5e+75=178.5
    4.5e=103.5
    e=23,
    c=30+e
    c=30+23
    c=53
    Check it by plugging them back into the first equation; it works.

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