In a bag of notes, the number of $2, $10 and $50 are in ratio of 5 : 4 : 8.
25 of the $2-notes and 10 $10-notes are taken out. The remaining notes are worth $3914. Find the difference between the value of $50-notes and $2-notes in the end.
| |
$2 |
$10 |
$50 |
| Before |
5 u |
4 u |
8 u |
| Change |
- 2 u |
- 10 |
|
| After |
3 u |
4 u - 10 |
8 u |
| |
$2 |
$10 |
$50 |
Total |
| Number |
3 u |
4 u - 10 |
8 u |
|
| Value |
2 |
10 |
50 |
|
| Total value |
6 u |
40 u - 100 |
400 u |
3914 |
Total value of the notes
= 6 u + 40 u - 100 + 400 u
= 446 u - 100
446 u - 100 = 3914
446 u = 3914 + 100
446 u = 4014
1 u = 4014 ÷ 446 = 9
Difference between the value of $50-notes and $2-notes in the end
= 400 u - 6 u
= 394 u
= 394 x 9
= $3546
Answer(s): $3546
