In a box of notes, the number of $5, $50 and $100 are in ratio of 5 : 2 : 7.
45 of the $5-notes is taken out and another 7 $50-notes are added. The remaining notes are worth $4375. Find the difference between the value of $100-notes and $5-notes in the end.
| |
$5 |
$50 |
$100 |
| Before |
5 u |
2 u |
7 u |
| Change |
- 4 u |
+ 7 |
|
| After |
1 u |
2 u + 7 |
7 u |
| |
$5 |
$50 |
$100 |
Total |
| Number |
1 u |
2 u + 7 |
7 u |
|
| Value |
5 |
50 |
100 |
|
| Total value |
5 u |
100 u + 350 |
700 u |
4375 |
Total value of the notes
= 5 u + 100 u + 350 + 700 u
= 805 u + 350
805 u + 350 = 4375
805 u = 4375 - 350
805 u = 4025
1 u = 4025 ÷ 805 = 5
Difference between the value of $100-notes and $5-notes in the end
= 700 u - 5 u
= 695 u
= 695 x 5
= $3475
Answer(s): $3475
