In a pouch of notes, the number of $20, $50 and $100 are in ratio of 5 : 4 : 6.
25 of the $20-notes is taken out and another 4 $50-notes are added. The remaining notes are worth $4500. Find the difference between the value of $100-notes and $20-notes in the end.
|
$20 |
$50 |
$100 |
Before |
5 u |
4 u |
6 u |
Change |
- 2 u |
+ 4 |
|
After |
3 u |
4 u + 4 |
6 u |
|
$20 |
$50 |
$100 |
Total |
Number |
3 u |
4 u + 4 |
6 u |
|
Value |
20 |
50 |
100 |
|
Total value |
60 u |
200 u + 200 |
600 u |
4500 |
Total value of the notes
= 60 u + 200 u + 200 + 600 u
= 860 u + 200
860 u + 200 = 4500
860 u = 4500 - 200
860 u = 4300
1 u = 4300 ÷ 860 = 5
Difference between the value of $100-notes and $20-notes in the end
= 600 u - 60 u
= 540 u
= 540 x 5
= $2700
Answer(s): $2700