A jar contained $2 and $50 notes with a total value of $624. 4 pieces of $50 were exchanged for $2 notes of similar value. In the end, the number of $2 notes was the same as the $50 notes. How many $50 notes were there at first?
|
$2 |
$50 |
Before |
1 u - 100 |
1 u + 4 |
Change |
+ 100 |
- 4 |
After |
1 u |
1 u |
Total value of $2 and $50 notes remains unchanged after the exchange of notes of similar value.
Total value of 4 pieces of $50-notes
= 4 x 50
= $200
Number of $2-notes that 4 pieces of $50-notes were exchanged for
= 200 ÷ 2
= 100
In the end |
$2 |
$50 |
Total |
Number |
1 u |
1 u |
2 u |
Value |
2 |
50 |
|
Total Value |
2 u |
50 u |
52 u |
Total value of $2 and $50 notes
= 2 u + 50 u
= 52 u
52 u = 624
1 u = 624 ÷ 52 = 12
Number of $50 notes at first
= 1 u + 4
= 12 + 4
= 16
Answer(s): 16