In a bag of notes, the number of $2, $10 and $100 are in ratio of 3 : 5 : 6.
13 of the $2-notes and 11 $10-notes are taken out. The remaining notes are worth $6430. Find the difference between the value of $100-notes and $2-notes in the end.
| |
$2 |
$10 |
$100 |
| Before |
3 u |
5 u |
6 u |
| Change |
- 1 u |
- 11 |
|
| After |
2 u |
5 u - 11 |
6 u |
| |
$2 |
$10 |
$100 |
Total |
| Number |
2 u |
5 u - 11 |
6 u |
|
| Value |
2 |
10 |
100 |
|
| Total value |
4 u |
50 u - 110 |
600 u |
6430 |
Total value of the notes
= 4 u + 50 u - 110 + 600 u
= 654 u - 110
654 u - 110 = 6430
654 u = 6430 + 110
654 u = 6540
1 u = 6540 ÷ 654 = 10
Difference between the value of $100-notes and $2-notes in the end
= 600 u - 4 u
= 596 u
= 596 x 10
= $5960
Answer(s): $5960
