Kimberly had an equal number of $20 and $5 notes. After spending 16 pieces of $5 and 12 pieces of $20 notes, the ratio of the $20 notes to $5 notes left was 5 : 1. Find the value of the notes left.
|
$20 |
$5 |
Before |
5 u + 12 |
1 u + 16 |
Change |
- 12 |
- 16 |
After |
5 u |
1 u |
Number of $20 notes at first = 5 u + 12
Number of $5 notes at first = 1 u + 16
The number of $20 and $5 notes at first is the same.
5 u + 12 = 1 u + 16
5 u - 1 u = 16 - 12
4 u = 4
1 u = 4 ÷ 4 = 1
Value of $20-notes left
= 5 u x 20
= 5 x 1 x 20
= $100
Value of $5-notes left
= 1 u x 5
= 1 x 1 x 5
= $5
Value of notes left
= 100 + 5
= $105
Answer(s): $105