In a pouch of notes, the number of $2, $5 and $50 are in ratio of 7 : 7 : 6.
37 of the $2-notes is taken out and another 3 $5-notes are added. The remaining notes are worth $2416. Find the difference between the value of $50-notes and $2-notes in the end.
| |
$2 |
$5 |
$50 |
| Before |
7 u |
7 u |
6 u |
| Change |
- 3 u |
+ 3 |
|
| After |
4 u |
7 u + 3 |
6 u |
| |
$2 |
$5 |
$50 |
Total |
| Number |
4 u |
7 u + 3 |
6 u |
|
| Value |
2 |
5 |
50 |
|
| Total value |
8 u |
35 u + 15 |
300 u |
2416 |
Total value of the notes
= 8 u + 35 u + 15 + 300 u
= 343 u + 15
343 u + 15 = 2416
343 u = 2416 - 15
343 u = 2401
1 u = 2401 ÷ 343 = 7
Difference between the value of $50-notes and $2-notes in the end
= 300 u - 8 u
= 292 u
= 292 x 7
= $2044
Answer(s): $2044
