Question 1134964: Mary's penny bank is 1/4
full. After she adds 360
pennies, it is 5/8
full. How many pennies can Mary's bank hold? Found 3 solutions by Alan3354, MathLover1, jim_thompson5910:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! Mary's penny bank is 1/4
full. After she adds 360
pennies, it is 5/8
full. How many pennies can Mary's bank hold?
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5/8 - 1/4 = 3/8
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360 pennies is 3/8 of the bank's capacity.
You can put this solution on YOUR website!
let’s say Mary's penny bank can hold pennies
if Mary's penny bank is full, we have
After she adds pennies, it is , so we have
...........solve for , both sides multiply by
Mary's bank can hold pennies
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 subtract 0.25x from both sides
360 = 0.625x-0.25x
360 = 0.375x
0.375x = 360
0.375x/0.375 = 360/0.375 Divide both sides by 0.375
x = 960
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