In a pouch of notes, the number of $2, $5 and $20 are in ratio of 5 : 2 : 6.
15 of the $2-notes and 12 $5-notes are taken out. The remaining notes are worth $354. Find the difference between the value of $20-notes and $2-notes in the end.
| |
$2 |
$5 |
$20 |
| Before |
5 u |
2 u |
6 u |
| Change |
- 1 u |
- 12 |
|
| After |
4 u |
2 u - 12 |
6 u |
| |
$2 |
$5 |
$20 |
Total |
| Number |
4 u |
2 u - 12 |
6 u |
|
| Value |
2 |
5 |
20 |
|
| Total value |
8 u |
10 u - 60 |
120 u |
354 |
Total value of the notes
= 8 u + 10 u - 60 + 120 u
= 138 u - 60
138 u - 60 = 354
138 u = 354 + 60
138 u = 414
1 u = 414 ÷ 138 = 3
Difference between the value of $20-notes and $2-notes in the end
= 120 u - 8 u
= 112 u
= 112 x 3
= $336
Answer(s): $336
