In a bag of notes, the number of $2, $5 and $100 are in ratio of 4 : 3 : 5.
14 of the $2-notes is taken out and another 9 $5-notes are added. The remaining notes are worth $5255. Find the difference between the value of $100-notes and $2-notes in the end.
| |
$2 |
$5 |
$100 |
| Before |
4 u |
3 u |
5 u |
| Change |
- 1 u |
+ 9 |
|
| After |
3 u |
3 u + 9 |
5 u |
| |
$2 |
$5 |
$100 |
Total |
| Number |
3 u |
3 u + 9 |
5 u |
|
| Value |
2 |
5 |
100 |
|
| Total value |
6 u |
15 u + 45 |
500 u |
5255 |
Total value of the notes
= 6 u + 15 u + 45 + 500 u
= 521 u + 45
521 u + 45 = 5255
521 u = 5255 - 45
521 u = 5210
1 u = 5210 ÷ 521 = 10
Difference between the value of $100-notes and $2-notes in the end
= 500 u - 6 u
= 494 u
= 494 x 10
= $4940
Answer(s): $4940
