Cathy had an equal number of $20 and $5 notes. After spending 46 pieces of $5 and 26 pieces of $20 notes, the ratio of the $20 notes to $5 notes left was 8 : 3. Find the value of the notes left.
| |
$20 |
$5 |
| Before |
8 u + 26 |
3 u + 46 |
| Change |
- 26 |
- 46 |
| After |
8 u |
3 u |
Number of $20 notes at first = 8 u + 26
Number of $5 notes at first = 3 u + 46
The number of $20 and $5 notes at first is the same.
8 u + 26 = 3 u + 46
8 u - 3 u = 46 - 26
5 u = 20
1 u = 20 ÷ 5 = 4
Value of $20-notes left
= 8 u x 20
= 8 x 4 x 20
= $640
Value of $5-notes left
= 3 u x 5
= 3 x 4 x 5
= $60
Value of notes left
= 640 + 60
= $700
Answer(s): $700
