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13 August, 03:31

Linda's penny bank is 2/3 full. After she removes 80 pennies, it is 1/2 full. How many pennies can Linda's bank hold?

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  1. 13 August, 05:42
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    Let x = the total number of pennies her piggy bank can hold.

    Then 2/3x = the number of pennies she started with

    Then 2/3x - 80 = the number of pennies she has left after taking out 80 pennies.

    Then 1/2x = the number of pennies she has left after taking out 80 pennies.

    Build the equation.

    2/3x - 80 = 1/2x

    Subtract 1/2x from each side of the equation.

    (2/3x - 80) - 1/2x = 1/2x - 1/2x

    1/6x - 80 = 0

    Add 80 to both sides of the equation.

    (1/6x - 80) + 80 = 0 + 80

    1/6x = 80

    Divide both sides by 1/6.

    (1/6x) / 1/6 = 80 / 1/6

    x = 480

    So, Linda's piggy bank can hold 480 pennies!
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