In a pouch of notes, the number of $2, $10 and $50 are in ratio of 5 : 1 : 6.
25 of the $2-notes is taken out and another 3 $10-notes are added. The remaining notes are worth $2874. Find the difference between the value of $50-notes and $2-notes in the end.
| |
$2 |
$10 |
$50 |
| Before |
5 u |
1 u |
6 u |
| Change |
- 2 u |
+ 3 |
|
| After |
3 u |
1 u + 3 |
6 u |
| |
$2 |
$10 |
$50 |
Total |
| Number |
3 u |
1 u + 3 |
6 u |
|
| Value |
2 |
10 |
50 |
|
| Total value |
6 u |
10 u + 30 |
300 u |
2874 |
Total value of the notes
= 6 u + 10 u + 30 + 300 u
= 316 u + 30
316 u + 30 = 2874
316 u = 2874 - 30
316 u = 2844
1 u = 2844 ÷ 316 = 9
Difference between the value of $50-notes and $2-notes in the end
= 300 u - 6 u
= 294 u
= 294 x 9
= $2646
Answer(s): $2646
