Raeann had an equal number of $50 and $20 notes. After spending 50 pieces of $20 and 17 pieces of $50 notes, the ratio of the $50 notes to $20 notes left was 5 : 2. Find the value of the notes left.
| |
$50 |
$20 |
| Before |
5 u + 17 |
2 u + 50 |
| Change |
- 17 |
- 50 |
| After |
5 u |
2 u |
Number of $50 notes at first = 5 u + 17
Number of $20 notes at first = 2 u + 50
The number of $50 and $20 notes at first is the same.
5 u + 17 = 2 u + 50
5 u - 2 u = 50 - 17
3 u = 33
1 u = 33 ÷ 3 = 11
Value of $50-notes left
= 5 u x 50
= 5 x 11 x 50
= $2750
Value of $20-notes left
= 2 u x 20
= 2 x 11 x 20
= $440
Value of notes left
= 2750 + 440
= $3190
Answer(s): $3190
