In a box of notes, the number of $2, $20 and $50 are in ratio of 7 : 5 : 1.
17 of the $2-notes is taken out and another 7 $20-notes are added. The remaining notes are worth $2084. Find the difference between the value of $50-notes and $2-notes in the end.
| |
$2 |
$20 |
$50 |
| Before |
7 u |
5 u |
1 u |
| Change |
- 1 u |
+ 7 |
|
| After |
6 u |
5 u + 7 |
1 u |
| |
$2 |
$20 |
$50 |
Total |
| Number |
6 u |
5 u + 7 |
1 u |
|
| Value |
2 |
20 |
50 |
|
| Total value |
12 u |
100 u + 140 |
50 u |
2084 |
Total value of the notes
= 12 u + 100 u + 140 + 50 u
= 162 u + 140
162 u + 140 = 2084
162 u = 2084 - 140
162 u = 1944
1 u = 1944 ÷ 162 = 12
Difference between the value of $50-notes and $2-notes in the end
= 50 u - 12 u
= 38 u
= 38 x 12
= $456
Answer(s): $456
