Question 1134964
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1/4 = 0.25
5/8 = 0.625


x = number of pennies the bank can hold
0.25*x = amount of pennies we start with
0.25x+360 = amount of pennies we have after adding on 360 more
0.625x = amount of pennies in the bank if 5/8 full


The expressions 0.25x+360 and 0.625x represent the same thing because they both represent the bank being 5/8 full, so we have this equation:
0.25x+360 = 0.625x


Solve for x
0.25x+360 = 0.625x
0.25x+360-0.25x = 0.625x-0.25x <font color=blue>subtract 0.25x from both sides</font>
360 = 0.625x-0.25x
360 = 0.375x
0.375x = 360
0.375x/0.375 = 360/0.375 <font color=blue>Divide both sides by 0.375</font>
x = 960


Answer: The penny bank can hold <font color=red>960 pennies</font>
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