Question
arshall ordered \( 28 \frac{1}{2} \) pounds of rocks for his landscaping to be delivered to his house. The rocks cost \( \$ 6.25 \) per und and the company charges \( \$ 35.00 \) for delivery. What is true about this situation? ect Two correct answers. The cost of the rocks before delivery is \( \$ 129.13 \). To find the cost of only the rocks, multiply \( 28 \frac{1}{2} \) and 35 . The total cost of the rocks and delivery is \( \$ 213.13 \). To find the total cost of rocks and delivery, multiply \( 28 \frac{1}{2} \) by 6.25 then add 35 . All rights reserved 0 2018-2024 towman Educationuc
Ask by Macdonald Floyd. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The total cost of the rocks and delivery is \$213.13. To find the total cost, multiply \( 28 \frac{1}{2} \) by \$6.25 and add \$35.
Solution
Let's evaluate each statement based on the given information:
1. **The cost of the rocks before delivery is \$129.13.**
- **Calculation:**
\[
28.5 \text{ pounds} \times \$6.25/\text{pound} = \$178.13
\]
- **Conclusion:** This statement is **incorrect** because the correct cost is \$178.13, not \$129.13.
2. **To find the cost of only the rocks, multiply \( 28 \frac{1}{2} \) and 35.**
- **Explanation:**
- \$35 is the delivery charge, not the cost per pound of rocks.
- To find the cost of the rocks, you should multiply \( 28.5 \) pounds by \$6.25 per pound.
- **Conclusion:** This statement is **incorrect**.
3. **The total cost of the rocks and delivery is \$213.13.**
- **Calculation:**
\[
\text{Cost of rocks} + \text{Delivery} = \$178.13 + \$35 = \$213.13
\]
- **Conclusion:** This statement is **correct**.
4. **To find the total cost of rocks and delivery, multiply \( 28 \frac{1}{2} \) by 6.25 then add 35.**
- **Calculation:**
\[
(28.5 \times \$6.25) + \$35 = \$178.13 + \$35 = \$213.13
\]
- **Conclusion:** This statement is **correct**.
**Therefore, the two correct statements are:**
- **The total cost of the rocks and delivery is \$213.13.**
- **To find the total cost of rocks and delivery, multiply \( 28 \frac{1}{2} \) by 6.25 then add 35.**
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Bonus Knowledge
Let's clarify the math involved! To find the cost of the rocks, you do indeed multiply \( 28 \frac{1}{2} \) (which is the same as \( 28.5 \) pounds) by \( 6.25\) per pound. This gives you a cost of \( \$ 178.13 \) (not \( \$ 129.13\)). After adding the delivery fee of \( \$ 35.00\), you'll receive a total cost of \( \$ 213.13\), which is indeed correct! Now, as for the common mistake—people often forget to properly convert mixed numbers into improper fractions or decimals when doing the calculations, which can lead to incorrect totals. Always double-check those conversions!