In a bag of notes, the number of $5, $20 and $100 are in ratio of 7 : 1 : 4.
27 of the $5-notes and 7 $20-notes are taken out. The remaining notes are worth $2975. Find the difference between the value of $100-notes and $5-notes in the end.
| |
$5 |
$20 |
$100 |
| Before |
7 u |
1 u |
4 u |
| Change |
- 2 u |
- 7 |
|
| After |
5 u |
1 u - 7 |
4 u |
| |
$5 |
$20 |
$100 |
Total |
| Number |
5 u |
1 u - 7 |
4 u |
|
| Value |
5 |
20 |
100 |
|
| Total value |
25 u |
20 u - 140 |
400 u |
2975 |
Total value of the notes
= 25 u + 20 u - 140 + 400 u
= 445 u - 140
445 u - 140 = 2975
445 u = 2975 + 140
445 u = 3115
1 u = 3115 ÷ 445 = 7
Difference between the value of $100-notes and $5-notes in the end
= 400 u - 25 u
= 375 u
= 375 x 7
= $2625
Answer(s): $2625
