In a pouch of notes, the number of $5, $10 and $20 are in ratio of 6 : 1 : 2.
16 of the $5-notes and 9 $10-notes are taken out. The remaining notes are worth $735. Find the difference between the value of $20-notes and $5-notes in the end.
|
$5 |
$10 |
$20 |
Before |
6 u |
1 u |
2 u |
Change |
- 1 u |
- 9 |
|
After |
5 u |
1 u - 9 |
2 u |
|
$5 |
$10 |
$20 |
Total |
Number |
5 u |
1 u - 9 |
2 u |
|
Value |
5 |
10 |
20 |
|
Total value |
25 u |
10 u - 90 |
40 u |
735 |
Total value of the notes
= 25 u + 10 u - 90 + 40 u
= 75 u - 90
75 u - 90 = 735
75 u = 735 + 90
75 u = 825
1 u = 825 ÷ 75 = 11
Difference between the value of $20-notes and $5-notes in the end
= 40 u - 25 u
= 15 u
= 15 x 11
= $165
Answer(s): $165