Question

Eric is adding water to a 60-gallons pool.

The pool already has 12 gallons of water, and he wants to fill it to at least 27 gallons.
The water flows at a rate of 6 gallons per minute.
How many minutes, a, will it take for Eric to fill the pool with at least 27 gallons of water?
Inequality that represents this situation:
27 < 12 + 6x

Answer 1

I believe the answer is 2.5 minutes he already has 12 gallons he jus had to add 15 more gallons at 6 gallons per minute that’s already 12 gallons in 2 minutes with jus 3 gallons left at half the time of left which is 30 Seconds if it takes 1 minute for 6gallons then it should take 30 seconds for 3 gallons

Answer 2

Explanation:

yes, the inequality is almost correct.

this is the fully correct one :

27 <= 12 + 6x

we want to get at least 27 gallons in the pool.

that means, if we hit exactly 27 gallons, it is a valid solution. therefore we need the "<=".

we want to get at least 27 gallons by starting with already existing 12 gallons and then adding 6 gallons for every minute (e.g. 5 minutes give us 5×6 = 30 gallons additional water).

so, now, let's solve :

27 <= 12 + 6x

15 <= 6x

15/6 <= x

2.5 <= x

therefore, it will take at least 2.5 minutes to fill the pool with at least 27 gallons.