A water tank holds 256 gallons but is leaking at the rate of 3 gallons per week. A second water tank holds 384 gallons and is leaking at a rate of 5 gallons per week. After how many weeks will the amount of water in the two tanks be the same.

Question

Mathematics

Villanueva

5 August, 20:23

A water tank holds 256 gallons but is leaking at the rate of 3 gallons per week. A second water tank holds 384 gallons and is leaking at a rate of 5 gallons per week. After how many weeks will the amount of water in the two tanks be the same.

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Answers (1)

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Flores · Answer 1

Simple ...

you have: one is leaking 3 gallons per week and holds 256 gallons; whereas, the other one is leaking 5 gallons per week and holds 384 gallons.

Set up both the equations ...

In y=mx+b form--->>>

y=-3x+256

y=-5x+384

To figure out when they will be equal ... set the equations equal to each other ... (remember to isolate the variable)

-3x+256=-5x+384

-3x+256=-5x+384

-256 - 256

-3x=-5x+128

-3x=-5x+128

+5x+5x

2x=128

x=64

After 64 weeks the amount of water in both tanks will be the same.

Thus, your answer.