Raeann had an equal number of $20 and $10 notes. After spending 44 pieces of $10 and 38 pieces of $20 notes, the ratio of the $20 notes to $10 notes left was 3 : 1. Find the value of the notes left.
| |
$20 |
$10 |
| Before |
3 u + 38 |
1 u + 44 |
| Change |
- 38 |
- 44 |
| After |
3 u |
1 u |
Number of $20 notes at first = 3 u + 38
Number of $10 notes at first = 1 u + 44
The number of $20 and $10 notes at first is the same.
3 u + 38 = 1 u + 44
3 u - 1 u = 44 - 38
2 u = 6
1 u = 6 ÷ 2 = 3
Value of $20-notes left
= 3 u x 20
= 3 x 3 x 20
= $180
Value of $10-notes left
= 1 u x 10
= 1 x 3 x 10
= $30
Value of notes left
= 180 + 30
= $210
Answer(s): $210
