In a box of notes, the number of $20, $50 and $100 are in ratio of 3 : 5 : 6.
13 of the $20-notes and 4 $50-notes are taken out. The remaining notes are worth $9590. Find the difference between the value of $100-notes and $20-notes in the end.
|
$20 |
$50 |
$100 |
Before |
3 u |
5 u |
6 u |
Change |
- 1 u |
- 4 |
|
After |
2 u |
5 u - 4 |
6 u |
|
$20 |
$50 |
$100 |
Total |
Number |
2 u |
5 u - 4 |
6 u |
|
Value |
20 |
50 |
100 |
|
Total value |
40 u |
250 u - 200 |
600 u |
9590 |
Total value of the notes
= 40 u + 250 u - 200 + 600 u
= 890 u - 200
890 u - 200 = 9590
890 u = 9590 + 200
890 u = 9790
1 u = 9790 ÷ 890 = 11
Difference between the value of $100-notes and $20-notes in the end
= 600 u - 40 u
= 560 u
= 560 x 11
= $6160
Answer(s): $6160