In a pouch of notes, the number of $5, $20 and $50 are in ratio of 6 : 3 : 1.
16 of the $5-notes and 12 $20-notes are taken out. The remaining notes are worth $570. Find the difference between the value of $50-notes and $5-notes in the end.
| |
$5 |
$20 |
$50 |
| Before |
6 u |
3 u |
1 u |
| Change |
- 1 u |
- 12 |
|
| After |
5 u |
3 u - 12 |
1 u |
| |
$5 |
$20 |
$50 |
Total |
| Number |
5 u |
3 u - 12 |
1 u |
|
| Value |
5 |
20 |
50 |
|
| Total value |
25 u |
60 u - 240 |
50 u |
570 |
Total value of the notes
= 25 u + 60 u - 240 + 50 u
= 135 u - 240
135 u - 240 = 570
135 u = 570 + 240
135 u = 810
1 u = 810 ÷ 135 = 6
Difference between the value of $50-notes and $5-notes in the end
= 50 u - 25 u
= 25 u
= 25 x 6
= $150
Answer(s): $150
