Pregunta
A coffee shop spends \( \$ 408 \) for an order of 17 cases of paper cups. If the coffee shop adds 5 more cases of paper cups to the order, how much will the total cost be?
Ask by Valdez Schofield. in the United States
Feb 05,2025
Solución de tutoría real
Respuesta verificada por el tutor
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The total cost for 22 cases of paper cups is \$528.
Solución
To determine the total cost for 22 cases of paper cups, follow these steps:
1. **Calculate the cost per case:**
The coffee shop spends \$408 for 17 cases.
\[
\text{Cost per case} = \frac{\$408}{17 \text{ cases}} = \$24 \text{ per case}
\]
2. **Determine the total number of cases after adding 5 more:**
\[
17 \text{ cases} + 5 \text{ cases} = 22 \text{ cases}
\]
3. **Calculate the total cost for 22 cases:**
\[
\text{Total cost} = 22 \text{ cases} \times \$24 \text{ per case} = \$528
\]
**Answer:** The total cost for 22 cases of paper cups will be **\$528**.
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Bonus Knowledge
The cost for 17 cases of paper cups is \( \$ 408 \). To find the cost per case, divide the total cost by the number of cases: \[ \text{Cost per case} = \frac{408}{17} = 24 \] Now, if the coffee shop adds 5 more cases, the total number of cases becomes \( 17 + 5 = 22 \). The total cost for 22 cases will be: \[ \text{Total cost} = 22 \times 24 = 528 \] So, the total cost for 22 cases of paper cups will be \( \$ 528 \).
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