In a box of notes, the number of $2, $10 and $50 are in ratio of 3 : 8 : 4.
23 of the $2-notes and 8 $10-notes are taken out. The remaining notes are worth $3022. Find the difference between the value of $50-notes and $2-notes in the end.
| |
$2 |
$10 |
$50 |
| Before |
3 u |
8 u |
4 u |
| Change |
- 2 u |
- 8 |
|
| After |
1 u |
8 u - 8 |
4 u |
| |
$2 |
$10 |
$50 |
Total |
| Number |
1 u |
8 u - 8 |
4 u |
|
| Value |
2 |
10 |
50 |
|
| Total value |
2 u |
80 u - 80 |
200 u |
3022 |
Total value of the notes
= 2 u + 80 u - 80 + 200 u
= 282 u - 80
282 u - 80 = 3022
282 u = 3022 + 80
282 u = 3102
1 u = 3102 ÷ 282 = 11
Difference between the value of $50-notes and $2-notes in the end
= 200 u - 2 u
= 198 u
= 198 x 11
= $2178
Answer(s): $2178
