SOLUTION: Lucy's penny bank is 3\10 full. After she adds 560 pennies, it is 4/5 full. How many pennies can Lucy's bank hold?

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Question 1184437: Lucy's penny bank is 3\10 full. After she adds 560 pennies, it is 4/5 full. How many pennies can Lucy's bank hold?
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
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Lucy's penny bank is cross%283%5C10%29 3/10 full. After she adds 560 pennies, it is 4/5 full.
How many pennies can Lucy's bank hold?
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Let x be the number of pennies making the bank full.


Then

    %284%2F5%29x - %283%2F10%29x = 560


Multiply everything by 10

    8x - 3x = 5600

       5x   = 5600

        x   = 5600/5 = 1120.


ANSWER.  1120 pennies make the bank full.

Solved and thoroughly explained.