Question

Deon paid bills with 1/2 of his paycheck and put 1/5 of the remainder in savings. The rest of his paycheck he divided equally among the college accounts of his 3 children. What fraction of his paycheck went into each child's account?

Answer 1

`(3)/(10)` of his paycheck went into each child's account.

Step-by-step explanation

Deon paid bills with
`(1)/(2)` of his paycheck.

So, the remaining amount of his paycheck
`= 1- (1)/(2)= (1)/(2)`

Now he put
`(1)/(5)` of that remaining amount in savings. So, the amount put in savings
`=(1)/(2)*(1)/(5)=(1)/(10)`

The rest amount of his paycheck will be:
`1-(1)/(10)= (9)/(10)`

He divided that rest amount equally among the college accounts of his 3 children.

So, the fraction of his paycheck went into each child's account
`= (9)/(10)/ 3= (9)/(10)* (1)/(3) = (3)/(10)`