Question

Aiko works in the fish department of a pet store. she must drain, clean, and refill two reef tanks. the first tank holds 175 gallons of water and drains at a rate of 25 gallons per hour. the second tank holds 200 gallons of water and drains at a rate of 30 gallons per hour.

write an equation for each tank representing the total amount of water and gallons in the tank Y in terms of the number of hours X that the tank drains.

equation for the first tank: ?
equation for the second tank: ?

what is the solution to the system of equations
x= ? y= ?

ordered pair: (? , ?)


**Please answer by 10:00 PM**
Thank you!!!​

Answer 1

The equation for the first tank will be 175 - 25h and the equation for the second tank is 200 - 25h.

How to solve the equation?

From the information given, the first tank holds 175 gallons of water and the second tank holds 200 gallons of water while the hoses that she uses drain the tanks at a rate of 25 gallons of water per hour.

Therefore, the equation for the first tank will be:

= 175 - (25 × h)

= 175 - 25h

The equation for the second tank will be:

= 200 - (25 × h)

= 200 - 25h

The quantity in the first tank after three hours will be:

= 175 - 25h

= 175 - (25 × 3)

= 175 - 75

= 100 gallons.

The quantity in the second tank after three hours will be:

= 200 - 25h

= 200 - (25 × 3)

= 200 - 75

= 125 gallons.