Bill and Tom drove 3200 miles. Bill drove 3 times as many miles as Tom. How many miles did Bill drive?

Question

Bill and Tom drove 3200 miles. Bill drove 3 times as many miles as Tom. How many miles did Bill drive?

Answer 1

Let x = the number of miles Tom drove

Since Bill drove 3 times farther

3x = the number of miles that Bill drove

# of miles Tom drove + # of miles Bill drove = 3200

x+3x=3200

Combine like terms

4x=3200

Divide both sides by 4

4x/4=3200/4

x=800 miles

800 miles is the number of miles Tom drove

3(800) = 2400 miles is the number of miles that Bill drove