In a pouch of notes, the number of $5, $20 and $100 are in ratio of 7 : 1 : 4.
37 of the $5-notes is taken out and another 5 $20-notes are added. The remaining notes are worth $3180. Find the difference between the value of $100-notes and $5-notes in the end.
| |
$5 |
$20 |
$100 |
| Before |
7 u |
1 u |
4 u |
| Change |
- 3 u |
+ 5 |
|
| After |
4 u |
1 u + 5 |
4 u |
| |
$5 |
$20 |
$100 |
Total |
| Number |
4 u |
1 u + 5 |
4 u |
|
| Value |
5 |
20 |
100 |
|
| Total value |
20 u |
20 u + 100 |
400 u |
3180 |
Total value of the notes
= 20 u + 20 u + 100 + 400 u
= 440 u + 100
440 u + 100 = 3180
440 u = 3180 - 100
440 u = 3080
1 u = 3080 ÷ 440 = 7
Difference between the value of $100-notes and $5-notes in the end
= 400 u - 20 u
= 380 u
= 380 x 7
= $2660
Answer(s): $2660
