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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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  1. 5 August, 22:18
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    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.
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