In a bag of notes, the number of $2, $20 and $50 are in ratio of 3 : 8 : 7.
13 of the $2-notes and 9 $20-notes are taken out. The remaining notes are worth $3418. Find the difference between the value of $50-notes and $2-notes in the end.
| |
$2 |
$20 |
$50 |
| Before |
3 u |
8 u |
7 u |
| Change |
- 1 u |
- 9 |
|
| After |
2 u |
8 u - 9 |
7 u |
| |
$2 |
$20 |
$50 |
Total |
| Number |
2 u |
8 u - 9 |
7 u |
|
| Value |
2 |
20 |
50 |
|
| Total value |
4 u |
160 u - 180 |
350 u |
3418 |
Total value of the notes
= 4 u + 160 u - 180 + 350 u
= 514 u - 180
514 u - 180 = 3418
514 u = 3418 + 180
514 u = 3598
1 u = 3598 ÷ 514 = 7
Difference between the value of $50-notes and $2-notes in the end
= 350 u - 4 u
= 346 u
= 346 x 7
= $2422
Answer(s): $2422
