In a box of notes, the number of $2, $20 and $50 are in ratio of 2 : 3 : 8.
12 of the $2-notes and 13 $20-notes are taken out. The remaining notes are worth $1588. Find the difference between the value of $50-notes and $2-notes in the end.
| |
$2 |
$20 |
$50 |
| Before |
2 u |
3 u |
8 u |
| Change |
- 1 u |
- 13 |
|
| After |
1 u |
3 u - 13 |
8 u |
| |
$2 |
$20 |
$50 |
Total |
| Number |
1 u |
3 u - 13 |
8 u |
|
| Value |
2 |
20 |
50 |
|
| Total value |
2 u |
60 u - 260 |
400 u |
1588 |
Total value of the notes
= 2 u + 60 u - 260 + 400 u
= 462 u - 260
462 u - 260 = 1588
462 u = 1588 + 260
462 u = 1848
1 u = 1848 ÷ 462 = 4
Difference between the value of $50-notes and $2-notes in the end
= 400 u - 2 u
= 398 u
= 398 x 4
= $1592
Answer(s): $1592
