Sarah lives 5 miles farther from school than Grant. If G represents the distance Grant lives from school, what expression represents the total number of miles Sarah and Grant travel to school?

1 answer

Let \( G \) represent the distance Grant lives from school in miles. Since Sarah lives 5 miles farther from school than Grant, the distance Sarah lives from school can be represented as \( G + 5 \).

To find the total number of miles Sarah and Grant travel to school, we add their distances:

\[ \text{Total distance} = \text{Distance Grant travels} + \text{Distance Sarah travels} \]

This gives us:

\[ \text{Total distance} = G + (G + 5) \]

Combining the terms:

\[ \text{Total distance} = G + G + 5 = 2G + 5 \]

Thus, the expression that represents the total number of miles Sarah and Grant travel to school is \( 2G + 5 \).