In a pouch of notes, the number of $2, $10 and $100 are in ratio of 5 : 2 : 8.
25 of the $2-notes and 14 $10-notes are taken out. The remaining notes are worth $1512. Find the difference between the value of $100-notes and $2-notes in the end.
| |
$2 |
$10 |
$100 |
| Before |
5 u |
2 u |
8 u |
| Change |
- 2 u |
- 14 |
|
| After |
3 u |
2 u - 14 |
8 u |
| |
$2 |
$10 |
$100 |
Total |
| Number |
3 u |
2 u - 14 |
8 u |
|
| Value |
2 |
10 |
100 |
|
| Total value |
6 u |
20 u - 140 |
800 u |
1512 |
Total value of the notes
= 6 u + 20 u - 140 + 800 u
= 826 u - 140
826 u - 140 = 1512
826 u = 1512 + 140
826 u = 1652
1 u = 1652 ÷ 826 = 2
Difference between the value of $100-notes and $2-notes in the end
= 800 u - 6 u
= 794 u
= 794 x 2
= $1588
Answer(s): $1588
