Question

Jan Sara and maya ran a total of 64 miles last week. Jan and maya ran the same amount and Sarah 8 miles less then maya. how many miles did Sarah run

Answer 1

Let:

x = Distance traveled by Jan

y = Distance traveled by Sara

z = Distance traveled by maya

Jan Sara and maya ran a total of 64 miles last week, so:

`x+y+z=64_{\text{ }}(1)`

Jan and maya ran the same amount and Sarah 8 miles less then maya. therefore:

`\begin{gathered} x=z_{\text{ }}(2) \\ y=z-8_{\text{ }}(3) \end{gathered}`

Replace (2) and (3) into (1):

`\begin{gathered} z+z-8+z=64 \\ 3z=64+8 \\ 3z=72 \\ z=24mi \end{gathered}`

Replace z into (2):

`\begin{gathered} y=24-8 \\ y=16mi \end{gathered}`

Sara ran 16 mi