In a bag of notes, the number of $5, $10 and $100 are in ratio of 4 : 6 : 5.
34 of the $5-notes and 3 $10-notes are taken out. The remaining notes are worth $1665. Find the difference between the value of $100-notes and $5-notes in the end.
| |
$5 |
$10 |
$100 |
| Before |
4 u |
6 u |
5 u |
| Change |
- 3 u |
- 3 |
|
| After |
1 u |
6 u - 3 |
5 u |
| |
$5 |
$10 |
$100 |
Total |
| Number |
1 u |
6 u - 3 |
5 u |
|
| Value |
5 |
10 |
100 |
|
| Total value |
5 u |
60 u - 30 |
500 u |
1665 |
Total value of the notes
= 5 u + 60 u - 30 + 500 u
= 565 u - 30
565 u - 30 = 1665
565 u = 1665 + 30
565 u = 1695
1 u = 1695 ÷ 565 = 3
Difference between the value of $100-notes and $5-notes in the end
= 500 u - 5 u
= 495 u
= 495 x 3
= $1485
Answer(s): $1485
