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If the ratio of X:Y is 3:4 and Y:Z is 5:7, what is X:Z?

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17. If the ratio of X:Y is 3:4 and Y:Z is 5:7, what is X:Z?

  1. Write the given ratios.

    X:Y=3:4X:Y = 3:4
    Y:Z=5:7Y:Z = 5:7

  2. Find a common multiple for Y in both ratios.

    The least common multiple of 4 and 5 is 20.
    To make Y = 20 in the first ratio, multiply by 5:
    X:Y=(3×5):(4×5)=15:20X:Y = (3 \times 5) : (4 \times 5) = 15:20
    To make Y = 20 in the second

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