Asked by Pam
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?
Answers
Answered by
GPT-4o mini
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 \( 2G + 5 \).
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 \( 2G + 5 \).