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The ratio of girls to boys in the junior high band is 5 to 7. At the beginning of the year, there were 72 students in band. By the end of the year the ratio of girls to boys was 3 to 4. If there are now 48 boys in the band how many girls joined the band during the school year?

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3 answers
  1. beginning ratio 5:7
    Girls=30
    Boys=42

    ending ration 3:4
    Boys=48

    48/4=12
    12*3=36

    Girls=6

    36-30=6

    6 more girls joined

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  2. The ratio of boys to girls in a marching band is 4:5
    Write ratio in two other ways

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  3. The ratio of girls to boys is 5:7 and there are 72 students at the beginning of the year, so you solve the first part of the problem by saying:
    5x + 7x=72
    12x=72
    x=6
    You plug 5(6)=30 girls and 7(6)=42 boys at the beginning of the year.

    For the second part of the problem, at the end of the year, the ratio is 3:4 girls to boys and there are 48 boys, how many girls joined the band during the school year?
    3/4 = x/48
    144=4x
    x=36 girls

    Answer: So 36 girls at the end of year minus 30 girls at the beginning of the year means that 6 girls joined the band during the school year.

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