In a bag of notes, the number of $2, $5 and $100 are in ratio of 7 : 6 : 8.
37 of the $2-notes is taken out and another 3 $5-notes are added. The remaining notes are worth $2529. Find the difference between the value of $100-notes and $2-notes in the end.
| |
$2 |
$5 |
$100 |
| Before |
7 u |
6 u |
8 u |
| Change |
- 3 u |
+ 3 |
|
| After |
4 u |
6 u + 3 |
8 u |
| |
$2 |
$5 |
$100 |
Total |
| Number |
4 u |
6 u + 3 |
8 u |
|
| Value |
2 |
5 |
100 |
|
| Total value |
8 u |
30 u + 15 |
800 u |
2529 |
Total value of the notes
= 8 u + 30 u + 15 + 800 u
= 838 u + 15
838 u + 15 = 2529
838 u = 2529 - 15
838 u = 2514
1 u = 2514 ÷ 838 = 3
Difference between the value of $100-notes and $2-notes in the end
= 800 u - 8 u
= 792 u
= 792 x 3
= $2376
Answer(s): $2376
