You spent 1/4

Question

of your allowance on Monday.
On Tuesday, you spent 1/3

of what was left.
On Wednesday, you spent 1/2

of what remains.

What fraction of your allowance do you have left? Choose the most reasonable answer.
1/4
4/3
3/3
1/2

Answer 1

Let \( A \) represent your total allowance.

1. On Monday, you spent \( \frac{1}{4}A \). The amount left after Monday is: \[ A - \frac{1}{4}A = \frac{3}{4}A \]

2. On Tuesday, you spent \( \frac{1}{3} \) of what was left, which is \( \frac{1}{3} \times \frac{3}{4}A = \frac{1}{4}A \). The amount left after Tuesday is: \[ \frac{3}{4}A - \frac{1}{4}A = \frac{2}{4}A = \frac{1}{2}A \]

3. On Wednesday, you spent \( \frac{1}{2} \) of what remains, which is \( \frac{1}{2} \times \frac{1}{2}A = \frac{1}{4}A \). The amount left after Wednesday is: \[ \frac{1}{2}A - \frac{1}{4}A = \frac{2}{4}A - \frac{1}{4}A = \frac{1}{4}A \]

Thus, the fraction of your allowance that you have left is \( \frac{1}{4} \).

So, the most reasonable answer is \( \frac{1}{4} \).