In a pouch of notes, the number of $2, $10 and $100 are in ratio of 4 : 5 : 2.
14 of the $2-notes is taken out and another 13 $10-notes are added. The remaining notes are worth $3202. Find the difference between the value of $100-notes and $2-notes in the end.
| |
$2 |
$10 |
$100 |
| Before |
4 u |
5 u |
2 u |
| Change |
- 1 u |
+ 13 |
|
| After |
3 u |
5 u + 13 |
2 u |
| |
$2 |
$10 |
$100 |
Total |
| Number |
3 u |
5 u + 13 |
2 u |
|
| Value |
2 |
10 |
100 |
|
| Total value |
6 u |
50 u + 130 |
200 u |
3202 |
Total value of the notes
= 6 u + 50 u + 130 + 200 u
= 256 u + 130
256 u + 130 = 3202
256 u = 3202 - 130
256 u = 3072
1 u = 3072 ÷ 256 = 12
Difference between the value of $100-notes and $2-notes in the end
= 200 u - 6 u
= 194 u
= 194 x 12
= $2328
Answer(s): $2328
