Question

Paul and Jacklyn are on a swim team.

Paul has completed 140 laps so far this season. He completes an additional 12 laps during each practice.
Jacklyn has completed 56 laps so far this season. She completes an additional 16 laps during each practice.
Paul and Jacklyn each attend the same number of practices. After how many more practices will Paul and Jacklyn have completed the same number of laps?

Answer 1

Explanation:

Paul: 140 + 12x

Jacklyn: 56 + 16x

Where x is how many practice sessions he had this season

"After how many more practices will Paul and Jacklyn have completed the same number of laps?"

This means what will x be if both equations are equal to each other

140 + 12x = 56 + 16x

Isolate x in one side by subtracting both sides by 12x

140 + 12x - 12x = 56 + 16x - 12x

140 = 56 + 4x

Subtract both sides by 56 to shift the 56 from the right side to the left side

140 - 56 = 56 - 56 + 4x

84 = 4x

Divide both sides by 4 to isolate x

84/4 = 4/4x

21 = x

x = 21

They'll have completed the same number of laps after 21 practices

Hope it helps :)