In a pouch of notes, the number of $2, $5 and $100 are in ratio of 7 : 6 : 1.
47 of the $2-notes and 5 $5-notes are taken out. The remaining notes are worth $383. Find the difference between the value of $100-notes and $2-notes in the end.
| |
$2 |
$5 |
$100 |
| Before |
7 u |
6 u |
1 u |
| Change |
- 4 u |
- 5 |
|
| After |
3 u |
6 u - 5 |
1 u |
| |
$2 |
$5 |
$100 |
Total |
| Number |
3 u |
6 u - 5 |
1 u |
|
| Value |
2 |
5 |
100 |
|
| Total value |
6 u |
30 u - 25 |
100 u |
383 |
Total value of the notes
= 6 u + 30 u - 25 + 100 u
= 136 u - 25
136 u - 25 = 383
136 u = 383 + 25
136 u = 408
1 u = 408 ÷ 136 = 3
Difference between the value of $100-notes and $2-notes in the end
= 100 u - 6 u
= 94 u
= 94 x 3
= $282
Answer(s): $282
