In a bag of notes, the number of $5, $50 and $100 are in ratio of 6 : 5 : 6.
16 of the $5-notes is taken out and another 15 $50-notes are added. The remaining notes are worth $7750. Find the difference between the value of $100-notes and $5-notes in the end.
| |
$5 |
$50 |
$100 |
| Before |
6 u |
5 u |
6 u |
| Change |
- 1 u |
+ 15 |
|
| After |
5 u |
5 u + 15 |
6 u |
| |
$5 |
$50 |
$100 |
Total |
| Number |
5 u |
5 u + 15 |
6 u |
|
| Value |
5 |
50 |
100 |
|
| Total value |
25 u |
250 u + 750 |
600 u |
7750 |
Total value of the notes
= 25 u + 250 u + 750 + 600 u
= 875 u + 750
875 u + 750 = 7750
875 u = 7750 - 750
875 u = 7000
1 u = 7000 ÷ 875 = 8
Difference between the value of $100-notes and $5-notes in the end
= 600 u - 25 u
= 575 u
= 575 x 8
= $4600
Answer(s): $4600
