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14 September, 02:11

In a fund-raising committee of 45 people, the ratio of men to women is 7 : 2. Find the number of women required to join the existing committee so that the ratio of men to

women is changed to 5:4

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  1. 14 September, 02:14
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    18 women

    Step-by-step explanation:

    Sum the parts of the ratio, 7 + 2 = 9 parts

    Divide 45 by 9 to find the value of one part of the ratio.

    45 : 9 = 5 ← value of 1 part, thus

    7 parts = 7 * 5 = 35 ← number of men

    2 parts = 2 * 5 = 10 ← number of women

    We require to change the ratio to 5 : 4

    The 5 part of the ratio represents the number of men, thus

    35 : 5 = 7 ← value of 1 part of the ratio, thus

    4 * 7 = 28 ← number of women

    Number of women required to join existing committee = 28 - 10 = 18
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