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At a festival, 2/7 of the number of girls was equal to 3/5 of the number of boys. There were 165 fewer boys than girls. How many children were at the festival in all?

  • math -

    number of boys ---- b
    number of girls ----- g

    (2/7)g = (3/5)b
    g = (3/5)(7/2)b = 21/10 b

    g - b = 165
    21b/10 - b = 165
    21b - 10b = 1650
    11b = 1650
    b = 150
    g = 21/10(150) = 315

    150 boys, 315 girls, total of 465

    check:
    (2/7)(315 = 90
    (3/5)(150) = 90
    yeahhh

  • math -

    Where can i find an explanation of this to apply to other problems

  • math -

    Barbie poops out party cats with mustaches and baby horses eating butts

  • math -

    The fact I can get it right away with a lot more fun and addicting and I don't think that it was not immediately available to all of them in my head

  • math -

    😭🔫🍍🚀💩🇺🇸🇮🇲👅🚬💚❤️💙💛💜3️⃣1️⃣5️⃣🔺

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