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Question

There are 1143 members in a club. 5/6 of the women and 3/7 of the men in the club volunteered to help out at an elderly home. There were 672 volunteers.

a) How many men volunteered at the elderly home?

b) What fraction of the members were women? Express your answer in the simplest form.

Answer

(a)
women : 6u
men : 7p
6u + 7p ——-> 1143
30u + 35p ——-> 5715
5u + 3p ——-> 672
30u + 18p ——-> 4032
35p – 18p = 17p ——-> 1683
1p ——-> 99
3p ——-> 99 x 3 = 297

(b)
5u + 297 ——-> 672
1u ——-> (672 – 297)/5 = 75
6u ——-> 75 x 6 = 450
450/1143 = 50/127

Ans : (a) 297 men; (b) 50/127.

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