Question

Ricardo wants to find the distance from his house to the library. school house library LIBRARY ? 360 m The distance from his house to the library is 3 times the distance from his house to the school. a. What is the distance from Ricardo's house to the school? b. What is the distance between his house and the library?

Answer 1

Let:

x = Distance from his house to the school

y = distance from school to the library = 360m

z = Distance from this house to the library

The distance from his house to the library is 3 times the distance from his house to the school, so:

`z=3x`

a. the distance from Ricardo's house to the school is given by:

`\begin{gathered} x=z-y \\ x=3x-360 \\ solve_{\text{ }}for_{}x\colon \\ 3x-x=360 \\ 2x=360 \\ x=(360)/(2) \\ x=180m \end{gathered}`

b. the distance between his house and the library is:

`\begin{gathered} z=3(180) \\ z=540m \end{gathered}`