In a box of notes, the number of $2, $20 and $100 are in ratio of 4 : 1 : 4.
14 of the $2-notes and 4 $20-notes are taken out. The remaining notes are worth $2476. Find the difference between the value of $100-notes and $2-notes in the end.
| |
$2 |
$20 |
$100 |
| Before |
4 u |
1 u |
4 u |
| Change |
- 1 u |
- 4 |
|
| After |
3 u |
1 u - 4 |
4 u |
| |
$2 |
$20 |
$100 |
Total |
| Number |
3 u |
1 u - 4 |
4 u |
|
| Value |
2 |
20 |
100 |
|
| Total value |
6 u |
20 u - 80 |
400 u |
2476 |
Total value of the notes
= 6 u + 20 u - 80 + 400 u
= 426 u - 80
426 u - 80 = 2476
426 u = 2476 + 80
426 u = 2556
1 u = 2556 ÷ 426 = 6
Difference between the value of $100-notes and $2-notes in the end
= 400 u - 6 u
= 394 u
= 394 x 6
= $2364
Answer(s): $2364
