1. **State the problem:** Carmen wants to buy 3 different items to spend as much of her 100 as possible without exceeding it.
2. **List the items and prices:**
- Jeans: 25.00
- Belt: 23.50
- Shoes: 35.00
- Skirt: 30.00
- Purse: 31.00
3. **Goal:** Find 3 items whose total price is as close to 100 as possible but not more than 100.
4. **Try combinations:**
- Jeans + Belt + Skirt = 25.00 + 23.50 + 30.00 = 78.50
- Jeans + Belt + Shoes = 25.00 + 23.50 + 35.00 = 83.50
- Jeans + Skirt + Purse = 25.00 + 30.00 + 31.00 = 86.00
- Belt + Skirt + Purse = 23.50 + 30.00 + 31.00 = 84.50
- Belt + Shoes + Skirt = 23.50 + 35.00 + 30.00 = 88.50
- Jeans + Shoes + Purse = 25.00 + 35.00 + 31.00 = 91.00
5. **Check totals:** The highest total under 100 is Jeans + Shoes + Purse = 91.00.
6. **Conclusion:** Carmen can buy jeans, shoes, and a purse to spend 91.00, which is the closest to 100 without going over.
---
1. **State the problem:** Derrick made 66 baskets out of 80 attempts. Find the percent made.
2. **Formula:** Percent made = $\frac{\text{number made}}{\text{total attempts}} \times 100$
3. **Calculate:**
$$\frac{66}{80} \times 100 = 0.825 \times 100 = 82.5\%$$
4. **Answer:** Derrick made 82.5% of his shots on the first day.
---
1. **State the problem:** Derrick made 54 baskets out of 70 attempts on the second day. Compare overall percentage to first day.
2. **Calculate second day percentage:**
$$\frac{54}{70} \times 100 = 0.7714 \times 100 = 77.14\%$$
3. **Calculate overall percentage:**
Total made = 66 + 54 = 120
Total attempts = 80 + 70 = 150
$$\frac{120}{150} \times 100 = 0.8 \times 100 = 80\%$$
4. **Compare:** First day percentage (82.5%) is higher than overall (80%) because second day percentage (77.14%) was lower.
5. **Conclusion:** Derrick's overall percentage decreased compared to the first day because he made fewer shots on the second day.
Shopping And Percent 2F0Eaa
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.