Kimberly had an equal number of $1 and $20 notes. After spending 46 pieces of $20 and 44 pieces of $1 notes, the ratio of the $1 notes to $20 notes left was 5 : 3. Find the value of the notes left.
| |
$1 |
$20 |
| Before |
5 u + 44 |
3 u + 46 |
| Change |
- 44 |
- 46 |
| After |
5 u |
3 u |
Number of $1 notes at first = 5 u + 44
Number of $20 notes at first = 3 u + 46
The number of $1 and $20 notes at first is the same.
5 u + 44 = 3 u + 46
5 u - 3 u = 46 - 44
2 u = 2
1 u = 2 ÷ 2 = 1
Value of $1-notes left
= 5 u x 1
= 5 x 1 x 1
= $5
Value of $20-notes left
= 3 u x 20
= 3 x 1 x 20
= $60
Value of notes left
= 5 + 60
= $65
Answer(s): $65
