Skid saved 3/5 of his paycheck and spent 2/3 of the remaining money. He was then left with $10. What was the original value of Skid paycheck?

Let his paycheck = P

If he saved 3/5 of his paycheck he must have spent 2/5 of it

And the amount that remains = 3/5 P

So

P - (2/5)P - (2/3) (3/5)P = 10 simplify

P - (2/5)p - (2/5)P = 10

P - (4/5)P =10

(1/5)P = 10

P = 10 (5/1) = $50