In a bag of notes, the number of $20, $50 and $100 are in ratio of 2 : 3 : 4.
12 of the $20-notes and 2 $50-notes are taken out. The remaining notes are worth $6170. Find the difference between the value of $100-notes and $20-notes in the end.
| |
$20 |
$50 |
$100 |
| Before |
2 u |
3 u |
4 u |
| Change |
- 1 u |
- 2 |
|
| After |
1 u |
3 u - 2 |
4 u |
| |
$20 |
$50 |
$100 |
Total |
| Number |
1 u |
3 u - 2 |
4 u |
|
| Value |
20 |
50 |
100 |
|
| Total value |
20 u |
150 u - 100 |
400 u |
6170 |
Total value of the notes
= 20 u + 150 u - 100 + 400 u
= 570 u - 100
570 u - 100 = 6170
570 u = 6170 + 100
570 u = 6270
1 u = 6270 ÷ 570 = 11
Difference between the value of $100-notes and $20-notes in the end
= 400 u - 20 u
= 380 u
= 380 x 11
= $4180
Answer(s): $4180
