In a bag of notes, the number of $5, $10 and $50 are in ratio of 2 : 7 : 5.
12 of the $5-notes and 14 $10-notes are taken out. The remaining notes are worth $835. Find the difference between the value of $50-notes and $5-notes in the end.
|
$5 |
$10 |
$50 |
Before |
2 u |
7 u |
5 u |
Change |
- 1 u |
- 14 |
|
After |
1 u |
7 u - 14 |
5 u |
|
$5 |
$10 |
$50 |
Total |
Number |
1 u |
7 u - 14 |
5 u |
|
Value |
5 |
10 |
50 |
|
Total value |
5 u |
70 u - 140 |
250 u |
835 |
Total value of the notes
= 5 u + 70 u - 140 + 250 u
= 325 u - 140
325 u - 140 = 835
325 u = 835 + 140
325 u = 975
1 u = 975 ÷ 325 = 3
Difference between the value of $50-notes and $5-notes in the end
= 250 u - 5 u
= 245 u
= 245 x 3
= $735
Answer(s): $735