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24 February, 05:52

Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and large cups for $2.50. If Ashely sold a total of 155 cups of lemonade for $265, how many cups of each type did she sell?

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  1. 24 February, 06:07
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    Answer: 98 small cups and 57 large cups

    Step-by-step explanation:

    Use the information provided to create a system of equations:

    Quantity Cost

    Small cups: x $1.25x

    Large cups: y $2.50y

    Total: 155 $265

    Qty: x + y = 155 → - 1.25 (x + y = 155) → - 1.25x - 1.25y = - 193.75

    Cost: 1.25x + 2.50y = 265 → 1.25x + 2.50y = 265.00

    1.25y = 71.25

    y = 57

    Substitute "y" with "57" into either equation and solve for x:

    x + y = 155

    x + (57) = 155

    x = 98
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