Yen had an equal number of $10 and $50 notes. After spending 23 pieces of $50 and 20 pieces of $10 notes, the ratio of the $10 notes to $50 notes left was 8 : 5. Find the value of the notes left.
| |
$10 |
$50 |
| Before |
8 u + 20 |
5 u + 23 |
| Change |
- 20 |
- 23 |
| After |
8 u |
5 u |
Number of $10 notes at first = 8 u + 20
Number of $50 notes at first = 5 u + 23
The number of $10 and $50 notes at first is the same.
8 u + 20 = 5 u + 23
8 u - 5 u = 23 - 20
3 u = 3
1 u = 3 ÷ 3 = 1
Value of $10-notes left
= 8 u x 10
= 8 x 1 x 10
= $80
Value of $50-notes left
= 5 u x 50
= 5 x 1 x 50
= $250
Value of notes left
= 80 + 250
= $330
Answer(s): $330
