In a bag of notes, the number of $2, $5 and $20 are in ratio of 7 : 5 : 7.
27 of the $2-notes is taken out and another 13 $5-notes are added. The remaining notes are worth $415. Find the difference between the value of $20-notes and $2-notes in the end.
| |
$2 |
$5 |
$20 |
| Before |
7 u |
5 u |
7 u |
| Change |
- 2 u |
+ 13 |
|
| After |
5 u |
5 u + 13 |
7 u |
| |
$2 |
$5 |
$20 |
Total |
| Number |
5 u |
5 u + 13 |
7 u |
|
| Value |
2 |
5 |
20 |
|
| Total value |
10 u |
25 u + 65 |
140 u |
415 |
Total value of the notes
= 10 u + 25 u + 65 + 140 u
= 175 u + 65
175 u + 65 = 415
175 u = 415 - 65
175 u = 350
1 u = 350 ÷ 175 = 2
Difference between the value of $20-notes and $2-notes in the end
= 140 u - 10 u
= 130 u
= 130 x 2
= $260
Answer(s): $260
