In a bag of notes, the number of $2, $50 and $100 are in ratio of 5 : 6 : 5.
35 of the $2-notes and 2 $50-notes are taken out. The remaining notes are worth $5528. Find the difference between the value of $100-notes and $2-notes in the end.
| |
$2 |
$50 |
$100 |
| Before |
5 u |
6 u |
5 u |
| Change |
- 3 u |
- 2 |
|
| After |
2 u |
6 u - 2 |
5 u |
| |
$2 |
$50 |
$100 |
Total |
| Number |
2 u |
6 u - 2 |
5 u |
|
| Value |
2 |
50 |
100 |
|
| Total value |
4 u |
300 u - 100 |
500 u |
5528 |
Total value of the notes
= 4 u + 300 u - 100 + 500 u
= 804 u - 100
804 u - 100 = 5528
804 u = 5528 + 100
804 u = 5628
1 u = 5628 ÷ 804 = 7
Difference between the value of $100-notes and $2-notes in the end
= 500 u - 4 u
= 496 u
= 496 x 7
= $3472
Answer(s): $3472
