SOLUTION: If Paul has $1431 left after spending 1/5 of his monthly salary for rent and 1/8 of his monthly salary for his credit card bill, what was his monthly salary?
Question 1196291: If Paul has $1431 left after spending 1/5 of his monthly salary for rent and 1/8 of his monthly salary for his credit card bill, what was his monthly salary? Found 5 solutions by josgarithmetic, MathLover1, math_tutor2020, ikleyn, amoresroy:Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website! M, monthly salary
, he has remaining after what he spent
Simplify and solve. Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
If Paul has $1431 left after spending 1/5 of his monthly salary for rent and 1/8 of his monthly salary for his credit card bill, what was his monthly salary?
let be Paul’s monthly salary
spending of his monthly salary for rent and of his monthly salary for his credit card bill, he spend in total
if Paul has $ left after spending, then his monthly salary is
his monthly salary was $
He spent 13/40 of his monthly salary on rent and the credit card bill
That leaves 27/40 of the monthly salary left over
Think of a pizza with 40 slices. 13 of them are eaten, so 40-13 = 27 are left.
(27/40)*x = 1431
27x = 1431*40
27x = 57240
x = 57240/27
x = 2120
Let assume that his salary is 40x.
Then he spent = 8x and = 5x,
or, in total, 8x+ 5x = 13x.
So, he has left 40x - 13x = 27x.
It gives an equation
27x = 1431,
and we find x = 1431/27 = 53.
Hence, his salary is 40*53 = 2120 dollars. ANSWER
Solved.
Answer by amoresroy(361) (Show Source): You can put this solution on YOUR website! Let x = Paul's monthly salary
x - x/5 - x/8 = 1431
Multiply all terms by 40 to eliminate denominator
40x - 8x -5x = 57,240
27x = 57,240
x = 2,120
Answer
Paul's monthly salary is $2,120.