In a bag of notes, the number of $5, $50 and $100 are in ratio of 5 : 5 : 7.
25 of the $5-notes and 14 $50-notes are taken out. The remaining notes are worth $8950. Find the difference between the value of $100-notes and $5-notes in the end.
| |
$5 |
$50 |
$100 |
| Before |
5 u |
5 u |
7 u |
| Change |
- 2 u |
- 14 |
|
| After |
3 u |
5 u - 14 |
7 u |
| |
$5 |
$50 |
$100 |
Total |
| Number |
3 u |
5 u - 14 |
7 u |
|
| Value |
5 |
50 |
100 |
|
| Total value |
15 u |
250 u - 700 |
700 u |
8950 |
Total value of the notes
= 15 u + 250 u - 700 + 700 u
= 965 u - 700
965 u - 700 = 8950
965 u = 8950 + 700
965 u = 9650
1 u = 9650 ÷ 965 = 10
Difference between the value of $100-notes and $5-notes in the end
= 700 u - 15 u
= 685 u
= 685 x 10
= $6850
Answer(s): $6850
