Question
Math Equation Response Question
Arun needs to buy 8 3/4 pounds of potting soil to fill a large flowerpot. Potting soil costs $0.60 per pound, including tax. What is the total cost, in dollars, of potting soil that Arun should buy to fill the flowerpot?
Use the on-screen keyboard to type the correct answer in the box below.
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Arun needs to buy 8 3/4 pounds of potting soil to fill a large flowerpot. Potting soil costs $0.60 per pound, including tax. What is the total cost, in dollars, of potting soil that Arun should buy to fill the flowerpot?
Use the on-screen keyboard to type the correct answer in the box below.
$$
Answers
GPT-4o mini
To calculate the total cost of potting soil that Arun needs to buy, we can follow these steps:
1. First, convert the mixed number \(8 \frac{3}{4}\) to an improper fraction.
\(8 \frac{3}{4} = \frac{8 \times 4 + 3}{4} = \frac{32 + 3}{4} = \frac{35}{4}\) pounds.
2. Next, we calculate the cost for 1 pound of potting soil, which is $0.60 per pound.
3. Now, we multiply the weight of the potting soil by the cost per pound:
\[
\text{Total Cost} = \left(\frac{35}{4}\, \text{pounds}\right) \times (0.60 \, \text{dollars/pound})
\]
4. Performing the multiplication:
\[
\text{Total Cost} = \frac{35}{4} \times 0.60 = \frac{35 \times 0.60}{4} = \frac{21}{4} = 5.25
\]
Thus, the total cost of potting soil that Arun should buy is **$5.25**.
So, the answer to type in the box is:
$$
5.25
$$
1. First, convert the mixed number \(8 \frac{3}{4}\) to an improper fraction.
\(8 \frac{3}{4} = \frac{8 \times 4 + 3}{4} = \frac{32 + 3}{4} = \frac{35}{4}\) pounds.
2. Next, we calculate the cost for 1 pound of potting soil, which is $0.60 per pound.
3. Now, we multiply the weight of the potting soil by the cost per pound:
\[
\text{Total Cost} = \left(\frac{35}{4}\, \text{pounds}\right) \times (0.60 \, \text{dollars/pound})
\]
4. Performing the multiplication:
\[
\text{Total Cost} = \frac{35}{4} \times 0.60 = \frac{35 \times 0.60}{4} = \frac{21}{4} = 5.25
\]
Thus, the total cost of potting soil that Arun should buy is **$5.25**.
So, the answer to type in the box is:
$$
5.25
$$