In a box of notes, the number of $2, $10 and $50 are in ratio of 5 : 5 : 3.
15 of the $2-notes and 9 $10-notes are taken out. The remaining notes are worth $2406. Find the difference between the value of $50-notes and $2-notes in the end.
|
$2 |
$10 |
$50 |
Before |
5 u |
5 u |
3 u |
Change |
- 1 u |
- 9 |
|
After |
4 u |
5 u - 9 |
3 u |
|
$2 |
$10 |
$50 |
Total |
Number |
4 u |
5 u - 9 |
3 u |
|
Value |
2 |
10 |
50 |
|
Total value |
8 u |
50 u - 90 |
150 u |
2406 |
Total value of the notes
= 8 u + 50 u - 90 + 150 u
= 208 u - 90
208 u - 90 = 2406
208 u = 2406 + 90
208 u = 2496
1 u = 2496 ÷ 208 = 12
Difference between the value of $50-notes and $2-notes in the end
= 150 u - 8 u
= 142 u
= 142 x 12
= $1704
Answer(s): $1704