In a pouch of notes, the number of $5, $50 and $100 are in ratio of 7 : 1 : 7.
37 of the $5-notes and 6 $50-notes are taken out. The remaining notes are worth $1240. Find the difference between the value of $100-notes and $5-notes in the end.
| |
$5 |
$50 |
$100 |
| Before |
7 u |
1 u |
7 u |
| Change |
- 3 u |
- 6 |
|
| After |
4 u |
1 u - 6 |
7 u |
| |
$5 |
$50 |
$100 |
Total |
| Number |
4 u |
1 u - 6 |
7 u |
|
| Value |
5 |
50 |
100 |
|
| Total value |
20 u |
50 u - 300 |
700 u |
1240 |
Total value of the notes
= 20 u + 50 u - 300 + 700 u
= 770 u - 300
770 u - 300 = 1240
770 u = 1240 + 300
770 u = 1540
1 u = 1540 ÷ 770 = 2
Difference between the value of $100-notes and $5-notes in the end
= 700 u - 20 u
= 680 u
= 680 x 2
= $1360
Answer(s): $1360
