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Cheko has been saving part of his allowance in a bag every month. The bag containing $2 and $10 notes had a total value of $1116. 6 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?

 Jun 12, 2017
 #1
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Let the number of $10 notes = T, and

Let the number of $2 notes =t

 

10T + 2t =1,116

T - 6 = t + 30, solve for T, t 

T = 99 Number of $10 notes that Cheko started with

t =63 Number of $2 notes that he started with.

 Jun 12, 2017
 #2
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Cheko has been saving part of his allowance in a bag every month. The bag containing $2 and $10 notes had a total value of $1116. 6 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?

 

Call the number of $2 and $10 notes at the end, N

 

So

 

2N  +  10N  =  1116    simplify

 

12N  = 1116     divide both sides by 12

 

N =  93

 

And 6 $10 bills  =  $60

 

So.....this = 30  $2  bills

 

So....there must have been  93 - 30  =  63  $2 bills initially  and 99 $10 bills

 

Check

 

2(63)  + 10(99)  =  $1116

 

 

cool cool cool

 Jun 12, 2017

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