450 people took part in a race. 97 of them were children and the rest were adults. 3/5 of the women and ¾ of the men were married while the rest of them were singles. There were 15 more married men than married women. (a) How many single were there? (b) What fraction of the people who took part in the race were men? [4 marks][Answer given: 116, 28/75]
450 - 97 = 353 adults
5 W + 4 M --> 353
3 M --> 3 W + 15
1 M --> 1 W + 15/3 = 1 W + 5
4 M --> 4 W + 4 x 5 = 4 W + 20
9 W --> 353 - 20 = 333
1 W --> 333/9 = 37
2 W --> 2 X 37 = 74
1 M --> 37 + 5 = 42
74 + 42 = 116 single
a) There were 116 single.
4 M --> 4 x 42 = 168
168/450= 84/225
b) It was 84/225.
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