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14 May, 10:46

Marcus is selling lemonade and peanuts. Each cup of lemonade is $0.75 and peanuts is $0.35. He sold 5 more cups of lemonade than bags of peanuts. He earned $7.05. How many cups of lemonade he solf?

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  1. 14 May, 11:56
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    Marcus sold 8 cups of lemonade

    Step-by-step explanation:

    we are going to make 2 equations, one that indicates the relationship of lemonades with peanuts and another for the price

    x = amount of lemonade

    y = amount ofpeanut

    x = y + 5

    x * 0.75 + y * 0.35 = 7.05

    we replace the x with (y + 5) in the second equation

    x * 0.75 + y * 0.35 = 7.05

    (y + 5) * 0.75 + y * 0.35 = 7.05

    now we solve by clearing y

    (y + 5) * 0.75 + y * 0.35 = 7.05

    0.75y + 3.75 + 0.35y = 7.05

    0.75y + 0.35y = 7.05 - 3.75

    1.10y = 3.30

    y = 3.30/1.10

    y = 3

    we replace the y in the first equation and get x

    x = y + 5

    x = 3 + 5

    x = 8
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