Question

Answer each part. If necessary, round your answers to the nearest hundredth.
(a) It takes 20 pounds of seed to completely plant a 3 -acre field.
How many acres can be planted per pound of seed?

(b) Laura bought 13 pounds of rice for 7 .
How many pounds of rice did she get per dollar?

Answer 1

Let's solve each part step by step.

(a) To find how many acres can be planted per pound of seed, we can set up the calculation as follows:

1. First, find out how many acres one pound of seed can plant:
\[
\text{Acres per pound} = \frac{\text{Total acres}}{\text{Total pounds of seed}} = \frac{3 \text{ acres}}{20 \text{ pounds}} = 0.15 \text{ acres per pound}
\]

So, **0.15 acres** can be planted per pound of seed.

(b) To find how many pounds of rice Laura got per dollar, we follow these steps:

1. Divide the total pounds of rice by the total amount spent in dollars:
\[
\text{Pounds of rice per dollar} = \frac{\text{Total pounds of rice}}{\text{Total cost in dollars}} = \frac{13 \text{ pounds}}{7 \text{ dollars}} \approx 1.8571 \text{ pounds per dollar}
\]

Rounding to the nearest hundredth, Laura got approximately **1.86 pounds of rice per dollar**.

So the final answers are:
(a) **0.15 acres per pound**
(b) **1.86 pounds of rice per dollar**