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16 March, 12:04

Last summer at Camp okeefenokee the ratio of the number of a boy campers to the number of girl campers with 8:7. If there were a total of 195 campers, how many boy campers were there? how many girl campers?

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  1. 16 March, 12:13
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    Number of boys=x

    number of girls=y.

    We can suggest this system of equations:

    x/y=8/7 ⇒x=8y/7

    x+y=195

    this system of equations can be solve by substitution method.

    (8y/7) + y=195

    least common multiple=7

    8y+7y=1365

    15y=1365

    y=1365/15

    y=91

    x=8y/7

    x=8*91 / 7

    x=728/7

    x=104

    Answer: there were 104 boy campers and 91 girl campers.
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