In a pouch of notes, the number of $2, $5 and $20 are in ratio of 5 : 2 : 4.
25 of the $2-notes is taken out and another 10 $5-notes are added. The remaining notes are worth $1106. Find the difference between the value of $20-notes and $2-notes in the end.
| |
$2 |
$5 |
$20 |
| Before |
5 u |
2 u |
4 u |
| Change |
- 2 u |
+ 10 |
|
| After |
3 u |
2 u + 10 |
4 u |
| |
$2 |
$5 |
$20 |
Total |
| Number |
3 u |
2 u + 10 |
4 u |
|
| Value |
2 |
5 |
20 |
|
| Total value |
6 u |
10 u + 50 |
80 u |
1106 |
Total value of the notes
= 6 u + 10 u + 50 + 80 u
= 96 u + 50
96 u + 50 = 1106
96 u = 1106 - 50
96 u = 1056
1 u = 1056 ÷ 96 = 11
Difference between the value of $20-notes and $2-notes in the end
= 80 u - 6 u
= 74 u
= 74 x 11
= $814
Answer(s): $814
