There were some adults and children at the part. For every 3 adults, there were 11 children. There were 32 more children than adults. How ma

Question

There were some adults and children at the part. For every 3 adults, there were 11 children. There were 32 more children than adults. How many adults were at the party

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Vodka 4 years 2021-07-19T12:04:51+00:00 1 Answers 0 views 0

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  1. Sapo1
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    2021-07-19T12:06:02+00:00
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    Answer:

    12

    Step-by-step explanation:

    Ratio of adults to children = 3 : 11

    Let

    x = number of adults at the party

    32 + x = number of children at the party

    Ratio of adults to children = x : (32 + x

    Equate both ratios

    3 : 11 = x : 32 + x

    3/11 = x : (32 + x)

    Cross product

    3 * (32 + x) = 11 * x

    96 + 3x = 11x

    96 = 11x – 3x

    96 = 8x

    x = 96/8

    x = 12

    x = number of adults at the party = 12

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