In a box of notes, the number of $2, $5 and $50 are in ratio of 7 : 6 : 4.
47 of the $2-notes is taken out and another 15 $5-notes are added. The remaining notes are worth $2671. Find the difference between the value of $50-notes and $2-notes in the end.
| |
$2 |
$5 |
$50 |
| Before |
7 u |
6 u |
4 u |
| Change |
- 4 u |
+ 15 |
|
| After |
3 u |
6 u + 15 |
4 u |
| |
$2 |
$5 |
$50 |
Total |
| Number |
3 u |
6 u + 15 |
4 u |
|
| Value |
2 |
5 |
50 |
|
| Total value |
6 u |
30 u + 75 |
200 u |
2671 |
Total value of the notes
= 6 u + 30 u + 75 + 200 u
= 236 u + 75
236 u + 75 = 2671
236 u = 2671 - 75
236 u = 2596
1 u = 2596 ÷ 236 = 11
Difference between the value of $50-notes and $2-notes in the end
= 200 u - 6 u
= 194 u
= 194 x 11
= $2134
Answer(s): $2134
