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?
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.
+128408
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
