Yen had an equal number of $100 and $10 notes. After spending 28 pieces of $10 and 12 pieces of $100 notes, the ratio of the $100 notes to $10 notes left was 5 : 3. Find the value of the notes left.
| |
$100 |
$10 |
| Before |
5 u + 12 |
3 u + 28 |
| Change |
- 12 |
- 28 |
| After |
5 u |
3 u |
Number of $100 notes at first = 5 u + 12
Number of $10 notes at first = 3 u + 28
The number of $100 and $10 notes at first is the same.
5 u + 12 = 3 u + 28
5 u - 3 u = 28 - 12
2 u = 16
1 u = 16 ÷ 2 = 8
Value of $100-notes left
= 5 u x 100
= 5 x 8 x 100
= $4000
Value of $10-notes left
= 3 u x 10
= 3 x 8 x 10
= $240
Value of notes left
= 4000 + 240
= $4240
Answer(s): $4240
