- Read and analyze the problem: The Fram family bought 17.8 pounds of carrot seeds for a total cost of $467.25. We need to determine the price per pound of the carrot seeds.
- Choose the appropriate operation: In this case, that operation is going to be division, and we know that because we're asked to calculate a unit rate, or price per pound.
- Solve the problem:
To find the price per pound, we need to divide the total cost by the total pounds:
\[
\text{Price per pound} = \frac{467.25}{17.8}
\]
To make the calculation easier, we can eliminate the decimal by multiplying both values by 10:
\[
17.8 \times 10 = 178 \\
467.25 \times 10 = 4672.5
\]
Now we divide:
\[
\text{Price per pound} = \frac{4672.5}{178}
\]
Performing the division:
\[
\text{Price per pound} \approx 26.25
\]
- Estimate to check the solution: We can estimate by rounding the values. If we round 17.8 to 18 and 467.25 to 470, then:
\[
\frac{470}{18} \approx 26.11
\]
This estimate shows that our calculated price per pound of approximately $26.25 is reasonable.
The price of carrot seeds is **$26.25** per pound.