In a box of notes, the number of $2, $5 and $50 are in ratio of 5 : 4 : 4.
25 of the $2-notes is taken out and another 10 $5-notes are added. The remaining notes are worth $1406. Find the difference between the value of $50-notes and $2-notes in the end.
|
$2 |
$5 |
$50 |
Before |
5 u |
4 u |
4 u |
Change |
- 2 u |
+ 10 |
|
After |
3 u |
4 u + 10 |
4 u |
|
$2 |
$5 |
$50 |
Total |
Number |
3 u |
4 u + 10 |
4 u |
|
Value |
2 |
5 |
50 |
|
Total value |
6 u |
20 u + 50 |
200 u |
1406 |
Total value of the notes
= 6 u + 20 u + 50 + 200 u
= 226 u + 50
226 u + 50 = 1406
226 u = 1406 - 50
226 u = 1356
1 u = 1356 ÷ 226 = 6
Difference between the value of $50-notes and $2-notes in the end
= 200 u - 6 u
= 194 u
= 194 x 6
= $1164
Answer(s): $1164