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Question 68120:  Anna has 12 bills in her wallet, some $5 and some $10. The total value of the bills is $100. How many of eachbill does Anna have? 
 Answer by adamchapman(301)      (Show Source): 
You can  put this solution on YOUR website! let the number of $5 bills be called 'a' and the number of $10 bills be called 'b'
 
 
there are 12 bills in total, so: 
a+b=12      ............(1)
 
the total value of all the bills is $100. So: 
5a+10b-100  ............(2)
 
If we rearrange equation (1), we can get b=12-a, and replacin b in equation (2) with what we have just found:
 
5a+10(12-a)=100 
5a+120-10a=100 
-5a=-20 
a=20/5 
a=4
 
now replace the 'a' in equation (1) to get  
4+b=12 
b=8
 
Therefore Anna has 4 $5 bills and 8 $10 bills.
 
I hope this helps.
 
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