In a bag of notes, the number of $10, $50 and $100 are in ratio of 5 : 3 : 3.
45 of the $10-notes and 6 $50-notes are taken out. The remaining notes are worth $3380. Find the difference between the value of $100-notes and $10-notes in the end.
| |
$10 |
$50 |
$100 |
| Before |
5 u |
3 u |
3 u |
| Change |
- 4 u |
- 6 |
|
| After |
1 u |
3 u - 6 |
3 u |
| |
$10 |
$50 |
$100 |
Total |
| Number |
1 u |
3 u - 6 |
3 u |
|
| Value |
10 |
50 |
100 |
|
| Total value |
10 u |
150 u - 300 |
300 u |
3380 |
Total value of the notes
= 10 u + 150 u - 300 + 300 u
= 460 u - 300
460 u - 300 = 3380
460 u = 3380 + 300
460 u = 3680
1 u = 3680 ÷ 460 = 8
Difference between the value of $100-notes and $10-notes in the end
= 300 u - 10 u
= 290 u
= 290 x 8
= $2320
Answer(s): $2320
