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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?

Guest Jun 12, 2017

#1**0 **

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.

Guest Jun 12, 2017

#2**+1 **

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

CPhill Jun 12, 2017