In a pouch of notes, the number of $2, $50 and $100 are in ratio of 7 : 8 : 8.
27 of the $2-notes and 3 $50-notes are taken out. The remaining notes are worth $14370. Find the difference between the value of $100-notes and $2-notes in the end.
| |
$2 |
$50 |
$100 |
| Before |
7 u |
8 u |
8 u |
| Change |
- 2 u |
- 3 |
|
| After |
5 u |
8 u - 3 |
8 u |
| |
$2 |
$50 |
$100 |
Total |
| Number |
5 u |
8 u - 3 |
8 u |
|
| Value |
2 |
50 |
100 |
|
| Total value |
10 u |
400 u - 150 |
800 u |
14370 |
Total value of the notes
= 10 u + 400 u - 150 + 800 u
= 1210 u - 150
1210 u - 150 = 14370
1210 u = 14370 + 150
1210 u = 14520
1 u = 14520 ÷ 1210 = 12
Difference between the value of $100-notes and $2-notes in the end
= 800 u - 10 u
= 790 u
= 790 x 12
= $9480
Answer(s): $9480
