In a box of notes, the number of $2, $10 and $50 are in ratio of 5 : 2 : 4.
15 of the $2-notes and 4 $10-notes are taken out. The remaining notes are worth $2468. Find the difference between the value of $50-notes and $2-notes in the end.
| |
$2 |
$10 |
$50 |
| Before |
5 u |
2 u |
4 u |
| Change |
- 1 u |
- 4 |
|
| After |
4 u |
2 u - 4 |
4 u |
| |
$2 |
$10 |
$50 |
Total |
| Number |
4 u |
2 u - 4 |
4 u |
|
| Value |
2 |
10 |
50 |
|
| Total value |
8 u |
20 u - 40 |
200 u |
2468 |
Total value of the notes
= 8 u + 20 u - 40 + 200 u
= 228 u - 40
228 u - 40 = 2468
228 u = 2468 + 40
228 u = 2508
1 u = 2508 ÷ 228 = 11
Difference between the value of $50-notes and $2-notes in the end
= 200 u - 8 u
= 192 u
= 192 x 11
= $2112
Answer(s): $2112
