1. **Problem Statement:**
We have four items with prices: Bike $140, Scarf $18, Winter Coat $75, and Book $12. There are two coupons: a 10% off coupon and a $10 off coupon. We want to find which coupon gives the lower price for each item.
2. **Formula for each coupon:**
- Price after 10% off: $$\text{Price} - 0.10 \times \text{Price} = 0.90 \times \text{Price}$$
- Price after $10 off: $$\text{Price} - 10$$
3. **Calculate prices for each item:**
- Bike: 10% off = $0.90 \times 140 = 126$, $10 off = 140 - 10 = 130$
- Scarf: 10% off = $0.90 \times 18 = 16.20$, $10 off = 18 - 10 = 8$
- Winter Coat: 10% off = $0.90 \times 75 = 67.50$, $10 off = 75 - 10 = 65$
- Book: 10% off = $0.90 \times 12 = 10.80$, $10 off = 12 - 10 = 2$
4. **Compare and mark better coupon:**
- Bike: 10% off price $126$ is less than $130$, so 10% off is better.
- Scarf: $10 off price $8$ is less than $16.20$, so $10 off is better.
- Winter Coat: $10 off price $65$ is less than $67.50$, so $10 off is better.
- Book: $10 off price $2$ is less than $10.80$, so $10 off is better.
5. **Final prices after better coupon:**
- Bike: $126$
- Scarf: $8$
- Winter Coat: $65$
- Book: $2$
This shows that for expensive items like the bike, the percentage coupon saves more, but for cheaper items, the flat $10 off coupon is better.
Coupon Comparison
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