Pamela had an equal number of $2 and $20 notes. After spending 50 pieces of $20 and 26 pieces of $2 notes, the ratio of the $2 notes to $20 notes left was 5 : 3. Find the value of the notes left.
| |
$2 |
$20 |
| Before |
5 u + 26 |
3 u + 50 |
| Change |
- 26 |
- 50 |
| After |
5 u |
3 u |
Number of $2 notes at first = 5 u + 26
Number of $20 notes at first = 3 u + 50
The number of $2 and $20 notes at first is the same.
5 u + 26 = 3 u + 50
5 u - 3 u = 50 - 26
2 u = 24
1 u = 24 ÷ 2 = 12
Value of $2-notes left
= 5 u x 2
= 5 x 12 x 2
= $120
Value of $20-notes left
= 3 u x 20
= 3 x 12 x 20
= $720
Value of notes left
= 120 + 720
= $840
Answer(s): $840
