In a pouch of notes, the number of $5, $10 and $20 are in ratio of 2 : 2 : 3.
12 of the $5-notes and 14 $10-notes are taken out. The remaining notes are worth $30. Find the difference between the value of $20-notes and $5-notes in the end.
|
$5 |
$10 |
$20 |
Before |
2 u |
2 u |
3 u |
Change |
- 1 u |
- 14 |
|
After |
1 u |
2 u - 14 |
3 u |
|
$5 |
$10 |
$20 |
Total |
Number |
1 u |
2 u - 14 |
3 u |
|
Value |
5 |
10 |
20 |
|
Total value |
5 u |
20 u - 140 |
60 u |
30 |
Total value of the notes
= 5 u + 20 u - 140 + 60 u
= 85 u - 140
85 u - 140 = 30
85 u = 30 + 140
85 u = 170
1 u = 170 ÷ 85 = 2
Difference between the value of $20-notes and $5-notes in the end
= 60 u - 5 u
= 55 u
= 55 x 2
= $110
Answer(s): $110