In a bag of notes, the number of $2, $50 and $100 are in ratio of 6 : 1 : 6.
16 of the $2-notes is taken out and another 15 $50-notes are added. The remaining notes are worth $3390. Find the difference between the value of $100-notes and $2-notes in the end.
| |
$2 |
$50 |
$100 |
| Before |
6 u |
1 u |
6 u |
| Change |
- 1 u |
+ 15 |
|
| After |
5 u |
1 u + 15 |
6 u |
| |
$2 |
$50 |
$100 |
Total |
| Number |
5 u |
1 u + 15 |
6 u |
|
| Value |
2 |
50 |
100 |
|
| Total value |
10 u |
50 u + 750 |
600 u |
3390 |
Total value of the notes
= 10 u + 50 u + 750 + 600 u
= 660 u + 750
660 u + 750 = 3390
660 u = 3390 - 750
660 u = 2640
1 u = 2640 ÷ 660 = 4
Difference between the value of $100-notes and $2-notes in the end
= 600 u - 10 u
= 590 u
= 590 x 4
= $2360
Answer(s): $2360
