Lisa swam 6 less than four times as many laps as Amanda. Brynne swam eight more than twice as many laps as Amanda. If Lisa and Brynne

swam the same amount of laps, how many laps did Brynne swim?

O

7 laps

O

22 laps

O

24 laps

O

16 laps

22 laps

Step-by-step explanation:

Lisa swam 6 fewer laps than four times of Amanda's laps.

Hence, L = 4A - 6

Again, Brynne swam eight more than twice as many laps as Amanda.

Hence, B = 2A + 8

If Lisa and Brynne swam the same amount of laps, then

L = B

⇒ 4A - 6 = 2A + 8

⇒ 2A = 14

⇒ A = 7 laps

So, B = 2A + 8 = 2 (7) + 8 = 22 laps

Therefore, Brynne swam 22 laps. (Answer)