In a bag of notes, the number of $2, $10 and $100 are in ratio of 7 : 3 : 3.
17 of the $2-notes is taken out and another 3 $10-notes are added. The remaining notes are worth $1740. Find the difference between the value of $100-notes and $2-notes in the end.
| |
$2 |
$10 |
$100 |
| Before |
7 u |
3 u |
3 u |
| Change |
- 1 u |
+ 3 |
|
| After |
6 u |
3 u + 3 |
3 u |
| |
$2 |
$10 |
$100 |
Total |
| Number |
6 u |
3 u + 3 |
3 u |
|
| Value |
2 |
10 |
100 |
|
| Total value |
12 u |
30 u + 30 |
300 u |
1740 |
Total value of the notes
= 12 u + 30 u + 30 + 300 u
= 342 u + 30
342 u + 30 = 1740
342 u = 1740 - 30
342 u = 1710
1 u = 1710 ÷ 342 = 5
Difference between the value of $100-notes and $2-notes in the end
= 300 u - 12 u
= 288 u
= 288 x 5
= $1440
Answer(s): $1440
