In a pouch of notes, the number of $2, $10 and $50 are in ratio of 3 : 8 : 3.
23 of the $2-notes and 12 $10-notes are taken out. The remaining notes are worth $2432. Find the difference between the value of $50-notes and $2-notes in the end.
|
$2 |
$10 |
$50 |
Before |
3 u |
8 u |
3 u |
Change |
- 2 u |
- 12 |
|
After |
1 u |
8 u - 12 |
3 u |
|
$2 |
$10 |
$50 |
Total |
Number |
1 u |
8 u - 12 |
3 u |
|
Value |
2 |
10 |
50 |
|
Total value |
2 u |
80 u - 120 |
150 u |
2432 |
Total value of the notes
= 2 u + 80 u - 120 + 150 u
= 232 u - 120
232 u - 120 = 2432
232 u = 2432 + 120
232 u = 2552
1 u = 2552 ÷ 232 = 11
Difference between the value of $50-notes and $2-notes in the end
= 150 u - 2 u
= 148 u
= 148 x 11
= $1628
Answer(s): $1628