In one game, the ratio of three-point baskets to three-point tries for one team was 3:8. If the team scored 27 points from three-point baske

Question

In one game, the ratio of three-point baskets to three-point tries for one team was 3:8. If the team scored 27 points from three-point baskets, how many three-point tries did the team have?

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Bella 2 weeks 2021-09-09T09:20:37+00:00 1 Answer 0

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    2021-09-09T09:22:26+00:00

    Since we’ve been given a ratio, 3:8, we can convert that into a fraction and form an equation from it:

    \frac{3}{8} = \frac{27/3}{?}

    The reason the numerator on the second fraction is 27/3 is because the team scored 27 points, not 27 baskets.

    Simplify (Also replace the ? with an unknown variable):

    \frac{3}{8} = \frac{9}{n}

    Cross multiply:

    3*n = 9*8

    Simplify:

    3n = 72

    Divide both sides by 3:

    n = 24

    The team had 33 three point tries, 9 successes, and 24 fails.

    -T.B.

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