Question

A hot tub holding 480 gal of water begins to empty at a rate of 5 gal/min. At the same time, an empty hot tub begins to fill at a rate of 15 gal/min. Let g represent the number of gallons of water and let t represent time in minutes. The system models this situation.



How long will it take for the hot tubs to hold equal amounts of water, and how much water will that be?



g = 480 – 5t

g = 15t



It will take ? minutes for both hot tubs to hold equal amounts of water. They will each hold ? gallons.


@foxymangle

Answer 1

@FOXYXMANGLE

Answer 2

We would do this....
\[480-5t=15t\]

we would get t by itself to get the equal amounts

Answer 3

so 480-5t-5t=15t-5t?

Answer 4

Did I do this correctly?

Answer 5

The process would actually start with adding 5t to get 5t to the other side of the equation and to cancel it out....