In a bag of notes, the number of $2, $10 and $100 are in ratio of 3 : 2 : 2.
23 of the $2-notes and 6 $10-notes are taken out. The remaining notes are worth $2604. Find the difference between the value of $100-notes and $2-notes in the end.
| |
$2 |
$10 |
$100 |
| Before |
3 u |
2 u |
2 u |
| Change |
- 2 u |
- 6 |
|
| After |
1 u |
2 u - 6 |
2 u |
| |
$2 |
$10 |
$100 |
Total |
| Number |
1 u |
2 u - 6 |
2 u |
|
| Value |
2 |
10 |
100 |
|
| Total value |
2 u |
20 u - 60 |
200 u |
2604 |
Total value of the notes
= 2 u + 20 u - 60 + 200 u
= 222 u - 60
222 u - 60 = 2604
222 u = 2604 + 60
222 u = 2664
1 u = 2664 ÷ 222 = 12
Difference between the value of $100-notes and $2-notes in the end
= 200 u - 2 u
= 198 u
= 198 x 12
= $2376
Answer(s): $2376
