In a bag of notes, the number of $2, $5 and $10 are in ratio of 7 : 2 : 6.
17 of the $2-notes is taken out and another 6 $5-notes are added. The remaining notes are worth $604. Find the difference between the value of $10-notes and $2-notes in the end.
| |
$2 |
$5 |
$10 |
| Before |
7 u |
2 u |
6 u |
| Change |
- 1 u |
+ 6 |
|
| After |
6 u |
2 u + 6 |
6 u |
| |
$2 |
$5 |
$10 |
Total |
| Number |
6 u |
2 u + 6 |
6 u |
|
| Value |
2 |
5 |
10 |
|
| Total value |
12 u |
10 u + 30 |
60 u |
604 |
Total value of the notes
= 12 u + 10 u + 30 + 60 u
= 82 u + 30
82 u + 30 = 604
82 u = 604 - 30
82 u = 574
1 u = 574 ÷ 82 = 7
Difference between the value of $10-notes and $2-notes in the end
= 60 u - 12 u
= 48 u
= 48 x 7
= $336
Answer(s): $336
