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Math Help - Bus Ratio Problem

  1. #1
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    Bus Ratio Problem

    Three bus loads of students leave for New York. Fifty students rode the first bus.The ratio of boys to girls on the bus 2:3

    The ratio of boys on the first buts to the boys on the 2nd bus was 5:6,though the ratio of girls to boys on bus 2 was 50:50

    The ratio of girls on the 3rd bus to girls on the 2nd was 7:8

    boys comprise 40% of the students on the 3rd bus

    What is the total number of students aboard the 3 buses?

    show your work

    so I got some of the work done


    First bus b-g 2:3. 2b=3g 20 boys 30 girls

    2nd bus 6 x 20=120 divided by 5 equals 24boys

    24 girls.

    could somebody help me please. Sorry I couldn't show the math clearly but I don't have time. Thanks a billion
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  2. #2
    Eater of Worlds
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    Let's see if I calculate this right.

    The first bus has 20 boys and 30 girls.

    The second bus has a ratio of 5:6, therefore, 24 boys.

    Since it's 50-50, there are 24 girls, too.

    The third bus has a ratio of 7:8, so 21 girls. 60% of the 3rd bus are girls, so

    .60x=21, x=35 altogether. 21 girls and 14 boys on the 3rd bus.

    So, total there are 20+30+24+24+14+21=133
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  3. #3
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    thanks I also got that answer. (
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