Mathematics question - ratios?

I substitute for high school math, and I was given this package by the teacher, but I don't understand these three questions. Can somebody help me explain. I know how to do it, but cannot explain it.

Point P is on Line Segment AB. AB = 20 and AP / PB = 5 / 3. How long is AP?

The ratio of 2k - 7a to 3k + a = 3 / 2, then the ratio of k to a is ......?

A study showed that 68% of men and 59% of women voted in favour of Mr.Potus. If everyone voted (all the men and women), and 66% of the people voted yes. What is the ratio of men to women?

Thank you.

2 Answers

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  • 1 decade ago
    Favorite Answer

    5x + 3x = 20

    8x=20

    x=2.5

    AP = 5x = 5(2.5)=12.5 and PB = 7.5

    For the second one, cross multiply.

  • Anonymous
    1 decade ago

    You know how to do it. So, just do it on the board. Won't that be explanation enough?

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