In a pouch of notes, the number of $5, $10 and $50 are in ratio of 5 : 6 : 1.
25 of the $5-notes is taken out and another 8 $10-notes are added. The remaining notes are worth $830. Find the difference between the value of $50-notes and $5-notes in the end.
| |
$5 |
$10 |
$50 |
| Before |
5 u |
6 u |
1 u |
| Change |
- 2 u |
+ 8 |
|
| After |
3 u |
6 u + 8 |
1 u |
| |
$5 |
$10 |
$50 |
Total |
| Number |
3 u |
6 u + 8 |
1 u |
|
| Value |
5 |
10 |
50 |
|
| Total value |
15 u |
60 u + 80 |
50 u |
830 |
Total value of the notes
= 15 u + 60 u + 80 + 50 u
= 125 u + 80
125 u + 80 = 830
125 u = 830 - 80
125 u = 750
1 u = 750 ÷ 125 = 6
Difference between the value of $50-notes and $5-notes in the end
= 50 u - 15 u
= 35 u
= 35 x 6
= $210
Answer(s): $210
