In a box of notes, the number of $2, $5 and $20 are in ratio of 5 : 1 : 6.
15 of the $2-notes is taken out and another 15 $5-notes are added. The remaining notes are worth $607. Find the difference between the value of $20-notes and $2-notes in the end.
|
$2 |
$5 |
$20 |
Before |
5 u |
1 u |
6 u |
Change |
- 1 u |
+ 15 |
|
After |
4 u |
1 u + 15 |
6 u |
|
$2 |
$5 |
$20 |
Total |
Number |
4 u |
1 u + 15 |
6 u |
|
Value |
2 |
5 |
20 |
|
Total value |
8 u |
5 u + 75 |
120 u |
607 |
Total value of the notes
= 8 u + 5 u + 75 + 120 u
= 133 u + 75
133 u + 75 = 607
133 u = 607 - 75
133 u = 532
1 u = 532 ÷ 133 = 4
Difference between the value of $20-notes and $2-notes in the end
= 120 u - 8 u
= 112 u
= 112 x 4
= $448
Answer(s): $448