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?

Answer 1

Answer: $4\dfrac{1}{8}\ \text{bags}$

Step-by-step explanation:

Given

Jasper lawn is three-fourth of an acre

1 acre of land requires $5\frac{1}{2}$ bags

convert mixed numeral to fraction

$\Rightarrow 5\dfrac{1}{2}=\dfrac{11}{2}$

$\therefore 1\ \text{acre}\equiv\dfrac{11}{2}\ \text{bags}\\\\\Rightarrow \dfrac{3}{4}\ \text{acre}\equiv \dfrac{11}{2}\times \dfrac{3}{4}=\dfrac{33}{8}\ \text{bags}$

$\Rightarrow \dfrac{33}{8}\ \text{bags}=4\dfrac{1}{8}\ \text{bags}$