In a bag of notes, the number of $2, $10 and $100 are in ratio of 7 : 4 : 8.
27 of the $2-notes and 12 $10-notes are taken out. The remaining notes are worth $9230. Find the difference between the value of $100-notes and $2-notes in the end.
|
$2 |
$10 |
$100 |
Before |
7 u |
4 u |
8 u |
Change |
- 2 u |
- 12 |
|
After |
5 u |
4 u - 12 |
8 u |
|
$2 |
$10 |
$100 |
Total |
Number |
5 u |
4 u - 12 |
8 u |
|
Value |
2 |
10 |
100 |
|
Total value |
10 u |
40 u - 120 |
800 u |
9230 |
Total value of the notes
= 10 u + 40 u - 120 + 800 u
= 850 u - 120
850 u - 120 = 9230
850 u = 9230 + 120
850 u = 9350
1 u = 9350 ÷ 850 = 11
Difference between the value of $100-notes and $2-notes in the end
= 800 u - 10 u
= 790 u
= 790 x 11
= $8690
Answer(s): $8690