In a pouch of notes, the number of $10, $50 and $100 are in ratio of 7 : 1 : 5.
27 of the $10-notes and 12 $50-notes are taken out. The remaining notes are worth $5400. Find the difference between the value of $100-notes and $10-notes in the end.
| |
$10 |
$50 |
$100 |
| Before |
7 u |
1 u |
5 u |
| Change |
- 2 u |
- 12 |
|
| After |
5 u |
1 u - 12 |
5 u |
| |
$10 |
$50 |
$100 |
Total |
| Number |
5 u |
1 u - 12 |
5 u |
|
| Value |
10 |
50 |
100 |
|
| Total value |
50 u |
50 u - 600 |
500 u |
5400 |
Total value of the notes
= 50 u + 50 u - 600 + 500 u
= 600 u - 600
600 u - 600 = 5400
600 u = 5400 + 600
600 u = 6000
1 u = 6000 ÷ 600 = 10
Difference between the value of $100-notes and $10-notes in the end
= 500 u - 50 u
= 450 u
= 450 x 10
= $4500
Answer(s): $4500
