Question

8.) Antwoine cuts 3 lawns in his neighborhood on Friday and more on Saturday.He earns $22.50 for each lawn cut. His total earning for both days is $135.How many lawns did he cut on Saturday?

Answer 1

The first step to solve this problem is to realize that this information can be "translate" into a linear system of two equations. Let's denote by F the number of lawns he cuts on Fridays and let's denote by S the corresponding on Saturdays. So we have

$22.50\cdot F+22.50\cdot S=135$$F=3$

Replacing the value of F into the first equation we get

$22.50\cdot3+22.50\cdot S=135$$67.5+22.5\cdot S=135$$22.5\cdot S=67.5$$S=\frac{67.5}{22.5}=3$