In a bag of notes, the number of $2, $20 and $100 are in ratio of 4 : 6 : 1.
14 of the $2-notes is taken out and another 13 $20-notes are added. The remaining notes are worth $2068. Find the difference between the value of $100-notes and $2-notes in the end.
| |
$2 |
$20 |
$100 |
| Before |
4 u |
6 u |
1 u |
| Change |
- 1 u |
+ 13 |
|
| After |
3 u |
6 u + 13 |
1 u |
| |
$2 |
$20 |
$100 |
Total |
| Number |
3 u |
6 u + 13 |
1 u |
|
| Value |
2 |
20 |
100 |
|
| Total value |
6 u |
120 u + 260 |
100 u |
2068 |
Total value of the notes
= 6 u + 120 u + 260 + 100 u
= 226 u + 260
226 u + 260 = 2068
226 u = 2068 - 260
226 u = 1808
1 u = 1808 ÷ 226 = 8
Difference between the value of $100-notes and $2-notes in the end
= 100 u - 6 u
= 94 u
= 94 x 8
= $752
Answer(s): $752
