In a community, men contributed #p each women #q each towards the community development fund. In a week, 3 men and 5 women contributed a total of#9500.00. In another week, 5 men and 10 women contributed a total of #17,500.00. Find the: (I) Value of p and q. (Ii) Total amount that will be contributed by 8 men and 12 women

3 answers

3p + 5q = 9500
5p + 10q = 17500 ----> p + 2q = 3500 ---> p = 3500-2q

sub that into the first:
3(3500-2q) + 5q = 9500
10500 - 6q + 5q = 9500
-q = -1000
q = 1000

go back to p = 3500-2q and find p
at which point you can find 8p + 12q
8p+ 12q=17pq
20
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