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Upper primary school mathematics question UPQ137
The Esplanade Library had 700 members last year. This year, the number of male members has been reduced by half and the number of female members has been reduced by 0.25. As a result, there are 450 members now.
(a) How many female members are there now?
(b) What percentage of the members are females now?
The female members had reduced 0.25 i.e. reduced by ¼ in fraction
Draw the math model based on the before and after the reduction,
Define M as 1 unit of Male and F as 1 unit of female
2M + 4F = 700
M + 3F = 450 ==> 2M + 6F = 900
2F = 200
F = 100
Female members now = 3 × 100 = 300
The percentage of the members are female now = 300/450 × 100% = 66 2/3%