Cindy had an equal number of $10 and $50 notes. After spending 47 pieces of $50 and 23 pieces of $10 notes, the ratio of the $10 notes to $50 notes left was 5 : 3. Find the value of the notes left.
| |
$10 |
$50 |
| Before |
5 u + 23 |
3 u + 47 |
| Change |
- 23 |
- 47 |
| After |
5 u |
3 u |
Number of $10 notes at first = 5 u + 23
Number of $50 notes at first = 3 u + 47
The number of $10 and $50 notes at first is the same.
5 u + 23 = 3 u + 47
5 u - 3 u = 47 - 23
2 u = 24
1 u = 24 ÷ 2 = 12
Value of $10-notes left
= 5 u x 10
= 5 x 12 x 10
= $600
Value of $50-notes left
= 3 u x 50
= 3 x 12 x 50
= $1800
Value of notes left
= 600 + 1800
= $2400
Answer(s): $2400
