In a box of notes, the number of $2, $5 and $50 are in ratio of 5 : 5 : 8.
35 of the $2-notes is taken out and another 10 $5-notes are added. The remaining notes are worth $2195. Find the difference between the value of $50-notes and $2-notes in the end.
| |
$2 |
$5 |
$50 |
| Before |
5 u |
5 u |
8 u |
| Change |
- 3 u |
+ 10 |
|
| After |
2 u |
5 u + 10 |
8 u |
| |
$2 |
$5 |
$50 |
Total |
| Number |
2 u |
5 u + 10 |
8 u |
|
| Value |
2 |
5 |
50 |
|
| Total value |
4 u |
25 u + 50 |
400 u |
2195 |
Total value of the notes
= 4 u + 25 u + 50 + 400 u
= 429 u + 50
429 u + 50 = 2195
429 u = 2195 - 50
429 u = 2145
1 u = 2145 ÷ 429 = 5
Difference between the value of $50-notes and $2-notes in the end
= 400 u - 4 u
= 396 u
= 396 x 5
= $1980
Answer(s): $1980
