A jar contained $2 and $5 notes with a total value of $203. 4 pieces of $5 were exchanged for $2 notes of similar value. In the end, the number of $2 notes was the same as the $5 notes. How many $2 notes were there at first?
|
$2 |
$5 |
Before |
1 u - 10 |
1 u + 4 |
Change |
+ 10 |
- 4 |
After |
1 u |
1 u |
Total value of $2 and $5 notes remains unchanged after the exchange of notes of similar value.
Total value of 4 pieces of $5-notes
= 4 x 5
= $20
Number of $2-notes that 4 pieces of $5-notes were exchanged for
= 20 ÷ 2
= 10
In the end |
$2 |
$5 |
Total |
Number |
1 u |
1 u |
2 u |
Value |
2 |
5 |
|
Total Value |
2 u |
5 u |
7 u |
Total value of $2 and $5 notes
= 2 u + 5 u
= 7 u
7 u = 203
1 u = 203 ÷ 7 = 29
Number of $2 notes at first
= 1 u - 10
= 29 - 10
= 19
Answer(s): 19