A jar contained $5 and $2 notes with a total value of $126. 5 pieces of $2 were exchanged for $5 notes of similar value. In the end, the number of $5 notes was the same as the $2 notes. How many $5 notes were there at first?
| |
$5 |
$2 |
| Before |
1 u - 2 |
1 u + 5 |
| Change |
+ 2 |
- 5 |
| After |
1 u |
1 u |
Total value of $5 and $2 notes remains unchanged after the exchange of notes of similar value.
Total value of 5 pieces of $2-notes
= 5 x 2
= $10
Number of $5-notes that 5 pieces of $2-notes were exchanged for
= 10 ÷ 5
= 2
| In the end |
$5 |
$2 |
Total |
| Number |
1 u |
1 u |
2 u |
| Value |
5 |
2 |
|
| Total Value |
5 u |
2 u |
7 u |
Total value of $5 and $2 notes
= 5 u + 2 u
= 7 u
7 u = 126
1 u = 126 ÷ 7 = 18
Number of $5 notes at first
= 1 u - 2
= 18 - 2
= 16
Answer(s): 16
