In a pouch of notes, the number of $2, $5 and $50 are in ratio of 5 : 6 : 7.
25 of the $2-notes and 15 $5-notes are taken out. The remaining notes are worth $4171. Find the difference between the value of $50-notes and $2-notes in the end.
|
$2 |
$5 |
$50 |
Before |
5 u |
6 u |
7 u |
Change |
- 2 u |
- 15 |
|
After |
3 u |
6 u - 15 |
7 u |
|
$2 |
$5 |
$50 |
Total |
Number |
3 u |
6 u - 15 |
7 u |
|
Value |
2 |
5 |
50 |
|
Total value |
6 u |
30 u - 75 |
350 u |
4171 |
Total value of the notes
= 6 u + 30 u - 75 + 350 u
= 386 u - 75
386 u - 75 = 4171
386 u = 4171 + 75
386 u = 4246
1 u = 4246 ÷ 386 = 11
Difference between the value of $50-notes and $2-notes in the end
= 350 u - 6 u
= 344 u
= 344 x 11
= $3784
Answer(s): $3784