Pamela had an equal number of $100 and $1 notes. After spending 22 pieces of $1 and 18 pieces of $100 notes, the ratio of the $100 notes to $1 notes left was 5 : 3. Find the value of the notes left.
| |
$100 |
$1 |
| Before |
5 u + 18 |
3 u + 22 |
| Change |
- 18 |
- 22 |
| After |
5 u |
3 u |
Number of $100 notes at first = 5 u + 18
Number of $1 notes at first = 3 u + 22
The number of $100 and $1 notes at first is the same.
5 u + 18 = 3 u + 22
5 u - 3 u = 22 - 18
2 u = 4
1 u = 4 ÷ 2 = 2
Value of $100-notes left
= 5 u x 100
= 5 x 2 x 100
= $1000
Value of $1-notes left
= 3 u x 1
= 3 x 2 x 1
= $6
Value of notes left
= 1000 + 6
= $1006
Answer(s): $1006
