Question

Write and solve a system of equations that represents each situation. Interpret the solution. DRIVING Winston drove a total of 248 miles on Monday. He drove 70 fewer miles in the morning than he did in the afternoon. How many miles did he drive in the afternoon?

Answer 1

Answer: 89 miles driven in the afternoon

Explanation:

Let x be the total number of miles driven in the morning, and y in the afternoon.

Firstly, we know the total miles driven.

x + y = 248

Next, we know he drove 70 fewer miles in the morning.

x - 70 = y

Our system of equations:

x + y = 248

x - 70 = y

`-----------------------------------------`

To solve, we will substitute one of the equations into the other.

x + y = 248

x + (x - 70) = 248

2x = 318

x = 159 miles in the morning

To solve for miles driven in the afternoon, we will substitute this value back into one of the equations and solve for y.

x - 70 = y

(159) - 70 = y

y = 89 miles driven in the afternoon