+0

# wegfdts

0
417
2

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
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.

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   Jun 12, 2017