Question

Mrs. Pens spent 1/3 of her paycheck on her grooves and household goods and paid bills with 5/12 of the pay check. She then deposited the rest of the money equally in 3 accounts. What fraction of her paycheck did she deposite in each account?

Answer 1

Answer: the fraction of her paycheck that she deposited in each account is 1/12

Explanation:

Mrs. Pens spent 1/3 of her paycheck on her grooves and household goods and paid bills with 5/12 of the pay check. It means that the total amount that she spent is

1/3 + 5/12 = 9/12

The amount of money she has left would be

1 - 9/12 = 3/12

She then deposited the rest of the money equally in 3 accounts. Therefore, the fraction of her paycheck that she deposited in each account is

3/12 ÷ 3

= 3/12 × 1/3

= 1/12