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12 November, 13:34

What is the ratio of a to b 9/17 = 3a / a+b

3/14

6/17

13/17

50/9

+4
Answers (1)
  1. 12 November, 17:07
    0
    3/14

    Step-by-step explanation:

    We want to find the ratio of a to b, or a/b

    9/17 = 3a / (a+b)

    Multiply each side by 17

    17*9/17 = 17 * 3a / (a+b)

    9 = 51 a / (a+b)

    Multiply each side by (a+b)

    9 (a+b) = 51a

    Distribute the 9

    9a + 9b = 51a

    Subtract 9a from each side

    9a-9a + 9b = 51a-9a

    9b = 42a

    Divide each side by b

    9b/b = 42a/b

    9 = 42a/b

    Divide each side by 42

    9/42 = a/b

    But we can simplify 9/42 because each is divisible by 3, so divide 9 and 42 by 3

    3/14 = a/b
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