Roshel had an equal number of $100 and $20 notes. After spending 50 pieces of $20 and 29 pieces of $100 notes, the ratio of the $100 notes to $20 notes left was 7 : 4. Find the value of the notes left.
|
$100 |
$20 |
Before |
7 u + 29 |
4 u + 50 |
Change |
- 29 |
- 50 |
After |
7 u |
4 u |
Number of $100 notes at first = 7 u + 29
Number of $20 notes at first = 4 u + 50
The number of $100 and $20 notes at first is the same.
7 u + 29 = 4 u + 50
7 u - 4 u = 50 - 29
3 u = 21
1 u = 21 ÷ 3 = 7
Value of $100-notes left
= 7 u x 100
= 7 x 7 x 100
= $4900
Value of $20-notes left
= 4 u x 20
= 4 x 7 x 20
= $560
Value of notes left
= 4900 + 560
= $5460
Answer(s): $5460