In a bag of notes, the number of $5, $50 and $100 are in ratio of 7 : 8 : 7.
27 of the $5-notes is taken out and another 5 $50-notes are added. The remaining notes are worth $10375. Find the difference between the value of $100-notes and $5-notes in the end.
|
$5 |
$50 |
$100 |
Before |
7 u |
8 u |
7 u |
Change |
- 2 u |
+ 5 |
|
After |
5 u |
8 u + 5 |
7 u |
|
$5 |
$50 |
$100 |
Total |
Number |
5 u |
8 u + 5 |
7 u |
|
Value |
5 |
50 |
100 |
|
Total value |
25 u |
400 u + 250 |
700 u |
10375 |
Total value of the notes
= 25 u + 400 u + 250 + 700 u
= 1125 u + 250
1125 u + 250 = 10375
1125 u = 10375 - 250
1125 u = 10125
1 u = 10125 ÷ 1125 = 9
Difference between the value of $100-notes and $5-notes in the end
= 700 u - 25 u
= 675 u
= 675 x 9
= $6075
Answer(s): $6075