Pamela had an equal number of $1 and $100 notes. After spending 44 pieces of $100 and 41 pieces of $1 notes, the ratio of the $1 notes to $100 notes left was 5 : 2. Find the value of the notes left.
| |
$1 |
$100 |
| Before |
5 u + 41 |
2 u + 44 |
| Change |
- 41 |
- 44 |
| After |
5 u |
2 u |
Number of $1 notes at first = 5 u + 41
Number of $100 notes at first = 2 u + 44
The number of $1 and $100 notes at first is the same.
5 u + 41 = 2 u + 44
5 u - 2 u = 44 - 41
3 u = 3
1 u = 3 ÷ 3 = 1
Value of $1-notes left
= 5 u x 1
= 5 x 1 x 1
= $5
Value of $100-notes left
= 2 u x 100
= 2 x 1 x 100
= $200
Value of notes left
= 5 + 200
= $205
Answer(s): $205
