In a box of notes, the number of $5, $10 and $100 are in ratio of 7 : 3 : 3.
47 of the $5-notes and 14 $10-notes are taken out. The remaining notes are worth $3310. Find the difference between the value of $100-notes and $5-notes in the end.
| |
$5 |
$10 |
$100 |
| Before |
7 u |
3 u |
3 u |
| Change |
- 4 u |
- 14 |
|
| After |
3 u |
3 u - 14 |
3 u |
| |
$5 |
$10 |
$100 |
Total |
| Number |
3 u |
3 u - 14 |
3 u |
|
| Value |
5 |
10 |
100 |
|
| Total value |
15 u |
30 u - 140 |
300 u |
3310 |
Total value of the notes
= 15 u + 30 u - 140 + 300 u
= 345 u - 140
345 u - 140 = 3310
345 u = 3310 + 140
345 u = 3450
1 u = 3450 ÷ 345 = 10
Difference between the value of $100-notes and $5-notes in the end
= 300 u - 15 u
= 285 u
= 285 x 10
= $2850
Answer(s): $2850
