In a bag of notes, the number of $2, $5 and $100 are in ratio of 5 : 8 : 7.
45 of the $2-notes is taken out and another 12 $5-notes are added. The remaining notes are worth $3028. Find the difference between the value of $100-notes and $2-notes in the end.
| |
$2 |
$5 |
$100 |
| Before |
5 u |
8 u |
7 u |
| Change |
- 4 u |
+ 12 |
|
| After |
1 u |
8 u + 12 |
7 u |
| |
$2 |
$5 |
$100 |
Total |
| Number |
1 u |
8 u + 12 |
7 u |
|
| Value |
2 |
5 |
100 |
|
| Total value |
2 u |
40 u + 60 |
700 u |
3028 |
Total value of the notes
= 2 u + 40 u + 60 + 700 u
= 742 u + 60
742 u + 60 = 3028
742 u = 3028 - 60
742 u = 2968
1 u = 2968 ÷ 742 = 4
Difference between the value of $100-notes and $2-notes in the end
= 700 u - 2 u
= 698 u
= 698 x 4
= $2792
Answer(s): $2792
