A tank currently holds 5 gallons of water. It is being filled at the rate of 1/4 gallon per minute. How long will it take for the tank to hold 9 gallons of water?

Respuesta :

So we know the tank already has 5 gallons and we need 9. This means we need 4 more gallons in order to fill up the tank.

If 1/4 gallon is being filled per minute we need to find out how many 1/4 gallons makes up 4 gallons in total.

4 of the 1/4 gallons makes up 1 whole gallon. So since we need 4 whole gallons we would need 16 of the 1/4 gallons.

This means that it will take 16 minutes for the tank to hold 9 gallons of water. 
5 + x/4 = 9 where x represents time in minutes

Now we solve for x

5 + x/4 = 9

Subtract 5 on both sides

X/4 = 4

Multiply both sides by 4

X = 4(4)

X = 16

Therefore, it will take 16 minutes to fill up the bucket to a total of 9 gallons.

I hope this Helps!

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