Question

8. The next-door neighbors are spending 10 hours a week maintaining their ½ acreproperty. You are thinking about landscaping your own property in exactly thesame way, but it is a 1/3 acre lot. How many hours per week will you have tospend maintaining your property?

Answer 1

Writing a proportion to the given, we have the following:

Let x be the number of hours per week that will be spent maintaining the property.

$\frac{x}{\frac{1}{3}}=\frac{10}{\frac{1}{2}}$

Solve for x and we get

$\begin{gathered} \frac{x}{\frac{1}{3}}=\frac{10}{\frac{1}{2}} \\ x=\frac{\frac{1}{3}\cdot10}{\frac{1}{2}} \\ x=\frac{10}{3}\cdot2 \\ x=\frac{20}{3}\text{ or }6\frac{2}{3} \end{gathered}$

Therefore, it will take 6 2/3 hours per week to maintain the property.