Question

Leuan was given £1500. He spent one third of the money on his car and one fifth of the money going out with friends. He saved the rest of the money. What fraction of his money did he save? Simplify your answer.

A. 1/3
B. 2/5
C. 1/15
D. 7/15

Answer 1

Ieuan saved 7/15 of his money after spending a third on his car and a fifth on going out with friends, by calculating the fractions and subtracting from the total amount.

Step-by-step explanation:

Ieuan was given £1500 and spent one third of the money on his car and one fifth on going out with friends. To find the fraction of the money he saved, we need to subtract the fractions representing the money spent from the whole.

Step-by-Step Calculation:

1. Calculate one third of the money: £1500 × (1/3) = £500.
2. Calculate one fifth of the money: £1500 × (1/5) = £300.
3. Add the fractions spent: (1/3) + (1/5) = (5/15) + (3/15) = (8/15).
4. Subtract the total spent from 1 to find the savings fraction: 1 - (8/15) = (15/15) - (8/15) = (7/15).

Therefore, Ieuan saved 7/15 of his money, which matches choice D.