Question

if you are paid $5.50/hour for mowing yards, and you take 3 1/3 hours to mow a yard, how much money are you owed?

Answer 1

$18.3

Explanation:

If you are paid $5.50/hour for mowing yards, and you take 3 1/3 hours to mow a yard, you should earn $18.3.

3 1/3 hours

$5.50 and hour

$5.50 x 3 = $16.5

$5.50 / 3 = $1.8

$16.5 + $1.8 = $18.3

Therefore, you are owed $18.3.

Answer 2

`\bf \begin{array}{ccll} \$&hour\\ \cline{1-2} 5.5&1\\ x&3(1)/(3) \end{array}\implies \cfrac{5.5}{x}=\cfrac{1}{3(1)/(3)}\implies \cfrac{5.5}{x}=\cfrac{1}{(3\cdot 3+1)/(3)}\implies \cfrac{5.5}{x}=\cfrac{1}{(10)/(3)}\implies \cfrac{5.5}{x}=\cfrac{(1)/(1)}{(10)/(3)} \\\\\\ \cfrac{5.5}{x}=\cfrac{1}{1}\cdot \cfrac{3}{10}\implies \cfrac{5.5}{x}=\cfrac{3}{10}\implies 55=3x\implies \stackrel{\textit{about 18 bucks and 33 cents}}{\cfrac{55}{3}=x\implies 18(1)/(3)=x}`