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

$\frac{3}{10}$ of his paycheck went into each child's account.

Explanation

Deon paid bills with $\frac{1}{2}$ of his paycheck.

So, the remaining amount of his paycheck $= 1- \frac{1}{2}= \frac{1}{2}$

Now he put $\frac{1}{5}$ of that remaining amount in savings. So, the amount put in savings $=\frac{1}{2}*\frac{1}{5}=\frac{1}{10}$

The rest amount of his paycheck will be:  $1-\frac{1}{10}= \frac{9}{10}$

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 $= \frac{9}{10}\div 3= \frac{9}{10}\times \frac{1}{3} = \frac{3}{10}$