In a pouch of notes, the number of $5, $20 and $100 are in ratio of 7 : 4 : 3.
27 of the $5-notes and 9 $20-notes are taken out. The remaining notes are worth $1035. Find the difference between the value of $100-notes and $5-notes in the end.
| |
$5 |
$20 |
$100 |
| Before |
7 u |
4 u |
3 u |
| Change |
- 2 u |
- 9 |
|
| After |
5 u |
4 u - 9 |
3 u |
| |
$5 |
$20 |
$100 |
Total |
| Number |
5 u |
4 u - 9 |
3 u |
|
| Value |
5 |
20 |
100 |
|
| Total value |
25 u |
80 u - 180 |
300 u |
1035 |
Total value of the notes
= 25 u + 80 u - 180 + 300 u
= 405 u - 180
405 u - 180 = 1035
405 u = 1035 + 180
405 u = 1215
1 u = 1215 ÷ 405 = 3
Difference between the value of $100-notes and $5-notes in the end
= 300 u - 25 u
= 275 u
= 275 x 3
= $825
Answer(s): $825
