Problem solving

Question

mr cheong saved $765 of his salary. he gave 1/6 of his salary to his wife and spent 5/11 of remainder on transport. he had 1/4 of salary left. how much was his salary for the month?

Answer 1

Assuming that the 1/4 of the salary left did not include the $765 he "saved"

 

Mr. Cheong has 1/4 of his salary left so what he spent, saved, etc., adds to 3/4 of his salary

 

3s/4 = 765 + s/6 + 5s/11

 

The lowest common multiple of 4, 6, 11 is 132 which is:

4(33), 6(22), 11(12)

Multiply through by 132

 

132(3s/4) = 132(765 + s/6 + 5s/11)

33(3s) = 100980 + 22s + 12(5s)

99s = 100980 + 22s + 60s

99s = 100980 + 82s

17s = 100980

s - 100980/17

s = $5,940 salary for the month