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Janice has been saving part of her allowance in a bag every month. The bag containing $2 and $10 notes had a total value of $1344. 8 pieces of $10 notes were exchanged for $2 notes of the same value. In the end, the number of $10 notes was the same as the $2 notes. How many $2 notes were there at first?

 Apr 15, 2023
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Let the original number of 2-doallar bills==T

Let the original number of 10-dollar bills==N

 

2T  +  10N ==1344......................(1)

 [N + 8] == [T - 40].....................(2), solve for T, N

 

T ==152 - original number of 2-dollar bills

N ==104 - original number of 10-dollar bills.

 Apr 15, 2023

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