In a bag of notes, the number of $2, $5 and $10 are in ratio of 5 : 1 : 4.
45 of the $2-notes and 8 $5-notes are taken out. The remaining notes are worth $101. Find the difference between the value of $10-notes and $2-notes in the end.
| |
$2 |
$5 |
$10 |
| Before |
5 u |
1 u |
4 u |
| Change |
- 4 u |
- 8 |
|
| After |
1 u |
1 u - 8 |
4 u |
| |
$2 |
$5 |
$10 |
Total |
| Number |
1 u |
1 u - 8 |
4 u |
|
| Value |
2 |
5 |
10 |
|
| Total value |
2 u |
5 u - 40 |
40 u |
101 |
Total value of the notes
= 2 u + 5 u - 40 + 40 u
= 47 u - 40
47 u - 40 = 101
47 u = 101 + 40
47 u = 141
1 u = 141 ÷ 47 = 3
Difference between the value of $10-notes and $2-notes in the end
= 40 u - 2 u
= 38 u
= 38 x 3
= $114
Answer(s): $114
