Question & Answer

What fraction of the pocket money does Jesse have left?

Jesse spends 1/2 of his pocket money on Monday. On Tuesday, he spends 3/4 of what is left. On Wednesday, he spends 1/4 of what remains. What fraction of the pocket money does he have left? Choose the most reasonable answer.

1/3
6/6
4/3
1/8

1 Answer

Verified archive
Quizzma TeamDecember 7, 2024

Let’s solve the problem step by step.

1. Let’s assume Jesse’s total pocket money is 1 (for simplicity).

2. On Monday, he spends 1/2 of his pocket money:

– Amount spent on Monday = 1/2

– Amount left after Monday = 1 – 1/2 = 1/2

3. On Tuesday, he spends 3/4 of what is left:

– Amount spent on Tuesday = 3/4 of (1/2) = 3/8

– Amount left after Tuesday = (1/2) – (3/8)

– To subtract, we convert 1/2 to eighths: 1/2 = 4/8

– So, Amount left after Tuesday = 4/8 – 3/8 = 1/8

4. On Wednesday, he spends 1/4 of what remains:

– Amount spent on Wednesday = 1/4 of (1/8) = 1/32

– Amount left after Wednesday = (1/8) – (1/32)

– To subtract, convert 1/8 to thirty-seconds: 1/8 = 4/32

– So, Amount left after Wednesday = 4/32 – 1/32 = 3/32

5. Final amount left: Jesse has 3