In a bag of notes, the number of $2, $10 and $100 are in ratio of 5 : 3 : 8.
35 of the $2-notes and 8 $10-notes are taken out. The remaining notes are worth $8260. Find the difference between the value of $100-notes and $2-notes in the end.
| |
$2 |
$10 |
$100 |
| Before |
5 u |
3 u |
8 u |
| Change |
- 3 u |
- 8 |
|
| After |
2 u |
3 u - 8 |
8 u |
| |
$2 |
$10 |
$100 |
Total |
| Number |
2 u |
3 u - 8 |
8 u |
|
| Value |
2 |
10 |
100 |
|
| Total value |
4 u |
30 u - 80 |
800 u |
8260 |
Total value of the notes
= 4 u + 30 u - 80 + 800 u
= 834 u - 80
834 u - 80 = 8260
834 u = 8260 + 80
834 u = 8340
1 u = 8340 ÷ 834 = 10
Difference between the value of $100-notes and $2-notes in the end
= 800 u - 4 u
= 796 u
= 796 x 10
= $7960
Answer(s): $7960
