In a box of notes, the number of $2, $5 and $50 are in ratio of 7 : 4 : 7.
37 of the $2-notes and 8 $5-notes are taken out. The remaining notes are worth $2228. Find the difference between the value of $50-notes and $2-notes in the end.
|
$2 |
$5 |
$50 |
Before |
7 u |
4 u |
7 u |
Change |
- 3 u |
- 8 |
|
After |
4 u |
4 u - 8 |
7 u |
|
$2 |
$5 |
$50 |
Total |
Number |
4 u |
4 u - 8 |
7 u |
|
Value |
2 |
5 |
50 |
|
Total value |
8 u |
20 u - 40 |
350 u |
2228 |
Total value of the notes
= 8 u + 20 u - 40 + 350 u
= 378 u - 40
378 u - 40 = 2228
378 u = 2228 + 40
378 u = 2268
1 u = 2268 ÷ 378 = 6
Difference between the value of $50-notes and $2-notes in the end
= 350 u - 8 u
= 342 u
= 342 x 6
= $2052
Answer(s): $2052