Use the five-step strategy for solving word problems to find the number or numbers described in the following
exercise.
-During a road trip, Tony drove one-third the distance that Lana drove. Mark drives 15 more miles than Lana drove. The total distance they drove on the trip was 309 miles. How many miles did each person drive?
A) Tony drove 42 miles, Lana drove 126 miles, and Mark drove 141 miles.
B) Tony drove 126 miles, Lana drove 378 miles, and Mark drove 393 miles.
C) Tony drove 37 miles, Lana drove 111 miles, and Mark drove 126 miles.
D) Tony drove 378 miles, Lana drove 126 miles, and Mark drove 111 miles.

Question

Quizplus · Accepted Answer

Let Lana's distance be x. Then, Tony's distance is x/3, and Mark's distance is x + 15. The total distance is x + x/3 + x + 15 = 309. Solving this equation gives x = 126, which means Lana drove 126 miles, Tony drove 42 miles (126/3), and Mark drove 141 miles (126 + 15).

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