In a bag of notes, the number of $2, $20 and $100 are in ratio of 5 : 7 : 8.
35 of the $2-notes and 10 $20-notes are taken out. The remaining notes are worth $10184. Find the difference between the value of $100-notes and $2-notes in the end.
| |
$2 |
$20 |
$100 |
| Before |
5 u |
7 u |
8 u |
| Change |
- 3 u |
- 10 |
|
| After |
2 u |
7 u - 10 |
8 u |
| |
$2 |
$20 |
$100 |
Total |
| Number |
2 u |
7 u - 10 |
8 u |
|
| Value |
2 |
20 |
100 |
|
| Total value |
4 u |
140 u - 200 |
800 u |
10184 |
Total value of the notes
= 4 u + 140 u - 200 + 800 u
= 944 u - 200
944 u - 200 = 10184
944 u = 10184 + 200
944 u = 10384
1 u = 10384 ÷ 944 = 11
Difference between the value of $100-notes and $2-notes in the end
= 800 u - 4 u
= 796 u
= 796 x 11
= $8756
Answer(s): $8756
