In a box of notes, the number of $5, $50 and $100 are in ratio of 4 : 8 : 5.
34 of the $5-notes and 4 $50-notes are taken out. The remaining notes are worth $10660. Find the difference between the value of $100-notes and $5-notes in the end.
| |
$5 |
$50 |
$100 |
| Before |
4 u |
8 u |
5 u |
| Change |
- 3 u |
- 4 |
|
| After |
1 u |
8 u - 4 |
5 u |
| |
$5 |
$50 |
$100 |
Total |
| Number |
1 u |
8 u - 4 |
5 u |
|
| Value |
5 |
50 |
100 |
|
| Total value |
5 u |
400 u - 200 |
500 u |
10660 |
Total value of the notes
= 5 u + 400 u - 200 + 500 u
= 905 u - 200
905 u - 200 = 10660
905 u = 10660 + 200
905 u = 10860
1 u = 10860 ÷ 905 = 12
Difference between the value of $100-notes and $5-notes in the end
= 500 u - 5 u
= 495 u
= 495 x 12
= $5940
Answer(s): $5940
