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Question

The Fram family decided to plant carrots on one section of land. If they paid $467.25 for 17.8 pounds of carrot seeds, what is the price per pound?

- Read and analyze the problem.
- Choose the appropriate operation.
In this case, that operation is going to be _, and we know that because we're asked to calculate a unit rate, or price per _.
- Solve the problem.

Multiply both values by 10 to get rid of the decimal in the divisor.
17.8 x 10 = _
467.25 x 10 = _

Estimate to check the solution.
The price of carrot seeds is $_ per pound.

Answer 1

• 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.