In a bag of notes, the number of $2, $5 and $20 are in ratio of 5 : 6 : 5.
35 of the $2-notes is taken out and another 3 $5-notes are added. The remaining notes are worth $551. Find the difference between the value of $20-notes and $2-notes in the end.
|
$2 |
$5 |
$20 |
Before |
5 u |
6 u |
5 u |
Change |
- 3 u |
+ 3 |
|
After |
2 u |
6 u + 3 |
5 u |
|
$2 |
$5 |
$20 |
Total |
Number |
2 u |
6 u + 3 |
5 u |
|
Value |
2 |
5 |
20 |
|
Total value |
4 u |
30 u + 15 |
100 u |
551 |
Total value of the notes
= 4 u + 30 u + 15 + 100 u
= 134 u + 15
134 u + 15 = 551
134 u = 551 - 15
134 u = 536
1 u = 536 ÷ 134 = 4
Difference between the value of $20-notes and $2-notes in the end
= 100 u - 4 u
= 96 u
= 96 x 4
= $384
Answer(s): $384