9514 1404 393
Answer:
Step-by-step explanation:
For n laps, the length Keenan swims in the rec center pool is ...
118 + 41n
and the length he swims in the gym pool is ...
154 +32n
These are equal length for equal numbers of laps, so we have ...
118 + 41n = 154 + 32n
9n = 36 . . . . . . . . . . . . . subtract 32n+118
n = 4 . . . . . . . . divide by 9
Then the length of Keenan's workout is ...
118 +41(4) = 282 . . . . yards
It will take 4 laps to make the workout total 282 yards in each pool.