Shiyun had an equal number of $2 and $20 notes. After spending 38 pieces of $20 and 35 pieces of $2 notes, the ratio of the $2 notes to $20 notes left was 5 : 2. Find the value of the notes left.
| |
$2 |
$20 |
| Before |
5 u + 35 |
2 u + 38 |
| Change |
- 35 |
- 38 |
| After |
5 u |
2 u |
Number of $2 notes at first = 5 u + 35
Number of $20 notes at first = 2 u + 38
The number of $2 and $20 notes at first is the same.
5 u + 35 = 2 u + 38
5 u - 2 u = 38 - 35
3 u = 3
1 u = 3 ÷ 3 = 1
Value of $2-notes left
= 5 u x 2
= 5 x 1 x 2
= $10
Value of $20-notes left
= 2 u x 20
= 2 x 1 x 20
= $40
Value of notes left
= 10 + 40
= $50
Answer(s): $50
