In a pouch of notes, the number of $2, $5 and $100 are in ratio of 3 : 3 : 4.
13 of the $2-notes and 4 $5-notes are taken out. The remaining notes are worth $818. Find the difference between the value of $100-notes and $2-notes in the end.
|
$2 |
$5 |
$100 |
Before |
3 u |
3 u |
4 u |
Change |
- 1 u |
- 4 |
|
After |
2 u |
3 u - 4 |
4 u |
|
$2 |
$5 |
$100 |
Total |
Number |
2 u |
3 u - 4 |
4 u |
|
Value |
2 |
5 |
100 |
|
Total value |
4 u |
15 u - 20 |
400 u |
818 |
Total value of the notes
= 4 u + 15 u - 20 + 400 u
= 419 u - 20
419 u - 20 = 818
419 u = 818 + 20
419 u = 838
1 u = 838 ÷ 419 = 2
Difference between the value of $100-notes and $2-notes in the end
= 400 u - 4 u
= 396 u
= 396 x 2
= $792
Answer(s): $792