Question

Jasper’s lawn is 3/4

of an acre in size. The fertilizer bag states that 5 1/2

bags are required for 1 acre. How many bags does Jasper need to fertilize his lawn?
8 1/4
6 1/4
4 1/8
5 3/8

Answer 1

To find out how many bags of fertilizer Jasper needs for his lawn, we can follow these steps:

1. Determine the amount of fertilizer needed for 3/4 of an acre using the information that 5 1/2 bags are needed for 1 acre.

First, convert 5 1/2 bags into an improper fraction:
\[
5 \frac{1}{2} = \frac{11}{2} \text{ bags}
\]

2. Since Jasper's lawn is 3/4 of an acre, we need to calculate how many bags he needs for that portion:
\[
\text{Bags needed} = \left(\frac{11}{2} \text{ bags}\right) \times \left(\frac{3}{4} \text{ acres}\right)
\]

3. Multiply the fractions:
\[
\frac{11}{2} \times \frac{3}{4} = \frac{11 \times 3}{2 \times 4} = \frac{33}{8} \text{ bags}
\]

4. Convert \(\frac{33}{8}\) to a mixed number:
- Divide 33 by 8, which equals 4 with a remainder of 1.
- Thus, \(\frac{33}{8} = 4 \frac{1}{8}\).

Therefore, Jasper needs 4 1/8 bags of fertilizer for his lawn.

The answer is **4 1/8**.