Question

jacket $120 after 10 days 1/4 off, 1/5 off, 1/4 off after 20 days 1/3 off, 2/5 off, 1/3 off after 30 days 1/2 off, 3/5 off, 2/3 off
shoes $40
shirt $12
could you buy all 3 items if you waited until after 30 days? remember, you only have $100 to spend. Justify your answer

Answer 1

To determine if you can buy all three items after waiting 30 days, we first need to calculate the final prices for each item after the discounts applied.

### Original Prices:
- Jacket: $120
- Shoes: $40
- Shirt: $12

### Discounts for the Jacket:
1. After 10 days:
- 1/4 off = 120 * (1/4) = $30 discount
- New price = 120 - 30 = $90

2. After 20 days:
- 1/5 off = 90 * (1/5) = $18 discount
- New price = 90 - 18 = $72

3. After 30 days:
- 1/4 off = 72 * (1/4) = $18 discount
- New price = 72 - 18 = $54

### Final Price for Jacket: **$54**

### Discounts for the Shoes:
1. After 10 days:
- 1/4 off = 40 * (1/4) = $10 discount
- New price = 40 - 10 = $30

2. After 20 days:
- 1/5 off = 30 * (1/5) = $6 discount
- New price = 30 - 6 = $24

3. After 30 days:
- 1/3 off = 24 * (1/3) = $8 discount
- New price = 24 - 8 = $16

### Final Price for Shoes: **$16**

### Discounts for the Shirt:
1. After 10 days:
- 1/4 off = 12 * (1/4) = $3 discount
- New price = 12 - 3 = $9

2. After 20 days:
- 1/5 off = 9 * (1/5) = $1.80 discount
- New price = 9 - 1.80 = $7.20

3. After 30 days:
- 1/3 off = 7.20 * (1/3) = $2.40 discount
- New price = 7.20 - 2.40 = $4.80

### Final Price for Shirt: **$4.80**

### Total Cost After 30 Days:
Now we can add up the final prices for each item to see if they fall within your budget of $100.

- Jacket: $54
- Shoes: $16
- Shirt: $4.80

**Total Cost = $54 + $16 + $4.80 = $74.80**

Since $74.80 is less than $100, you **can** buy all three items after waiting until after 30 days.