Question

answer each part. if necessary, round your answers to the nearest hundredth.
(a) it takes 27 pounds of seed to completely plant a 3 - acre field.
how many acres can be planted per pound of seed?
□ acres per pound
(b) a color printer prints 5 pages in 3 minutes.
how many pages does it print per minute?
□ pages per minute

Explanation:

Part (a)

Step 1: Identify the relationship

We know that 27 pounds of seed plants 3 acres. We need to find acres per pound, so we divide the number of acres by the number of pounds.

$$ \text{Acres per pound} = \frac{\text{Acres}}{\text{Pounds}} = \frac{3}{27} $$

Step 2: Simplify the fraction

Simplify \(\frac{3}{27}\) by dividing numerator and denominator by 3.

$$ \frac{3\div3}{27\div3} = \frac{1}{9} \approx 0.11 $$

Step 1: Identify the relationship

The printer prints 5 pages in 3 minutes. We need to find pages per minute, so we divide the number of pages by the number of minutes.

$$ \text{Pages per minute} = \frac{\text{Pages}}{\text{Minutes}} = \frac{5}{3} $$

Step 2: Calculate the value

\(\frac{5}{3} \approx 1.67\)

Answer:

\(\frac{1}{9}\) (or approximately \(0.11\)) acres per pound

Part (b)