In a box of notes, the number of $2, $10 and $100 are in ratio of 5 : 8 : 1.
45 of the $2-notes is taken out and another 12 $10-notes are added. The remaining notes are worth $1212. Find the difference between the value of $100-notes and $2-notes in the end.
| |
$2 |
$10 |
$100 |
| Before |
5 u |
8 u |
1 u |
| Change |
- 4 u |
+ 12 |
|
| After |
1 u |
8 u + 12 |
1 u |
| |
$2 |
$10 |
$100 |
Total |
| Number |
1 u |
8 u + 12 |
1 u |
|
| Value |
2 |
10 |
100 |
|
| Total value |
2 u |
80 u + 120 |
100 u |
1212 |
Total value of the notes
= 2 u + 80 u + 120 + 100 u
= 182 u + 120
182 u + 120 = 1212
182 u = 1212 - 120
182 u = 1092
1 u = 1092 ÷ 182 = 6
Difference between the value of $100-notes and $2-notes in the end
= 100 u - 2 u
= 98 u
= 98 x 6
= $588
Answer(s): $588
