If Paul has $1248 left after spending 1/3 of his monthly salary for rent and 1/8 of his monthly salary for his credit card bill, what was his monthly salary?

Answer 1

His salary is X...

He spent X-1248

X-1248 = (1/3)X + (1/8)X <--- credit card and rent

X - 1248 = (11/24)X

(13/24)X = 1248

X = 1248*24/13 = 2304

1/3 * 2304 = 768 spent on rent

1/8 * 2304 = 288 spent on credit card

Total spent is 1056

1056/2304 = 44/96 <--- divides by 24

= 11/24 <--- divides by 4

which is the fractional amount spent

MOnthly salary is $2304