In a box of notes, the number of $2, $10 and $50 are in ratio of 5 : 3 : 5.
35 of the $2-notes and 8 $10-notes are taken out. The remaining notes are worth $2192. Find the difference between the value of $50-notes and $2-notes in the end.
| |
$2 |
$10 |
$50 |
| Before |
5 u |
3 u |
5 u |
| Change |
- 3 u |
- 8 |
|
| After |
2 u |
3 u - 8 |
5 u |
| |
$2 |
$10 |
$50 |
Total |
| Number |
2 u |
3 u - 8 |
5 u |
|
| Value |
2 |
10 |
50 |
|
| Total value |
4 u |
30 u - 80 |
250 u |
2192 |
Total value of the notes
= 4 u + 30 u - 80 + 250 u
= 284 u - 80
284 u - 80 = 2192
284 u = 2192 + 80
284 u = 2272
1 u = 2272 ÷ 284 = 8
Difference between the value of $50-notes and $2-notes in the end
= 250 u - 4 u
= 246 u
= 246 x 8
= $1968
Answer(s): $1968
