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.

`(x)/((1)/(3))=(10)/((1)/(2))`

Solve for x and we get

`\begin{gathered} (x)/((1)/(3))=(10)/((1)/(2)) \\ x=((1)/(3)\cdot10)/((1)/(2)) \\ x=(10)/(3)\cdot2 \\ x=(20)/(3)\text{ or }6(2)/(3) \end{gathered}`

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