Joelle had an equal number of $50 and $20 notes. After spending 48 pieces of $20 and 24 pieces of $50 notes, the ratio of the $50 notes to $20 notes left was 3 : 1. Find the value of the notes left.
|
$50 |
$20 |
Before |
3 u + 24 |
1 u + 48 |
Change |
- 24 |
- 48 |
After |
3 u |
1 u |
Number of $50 notes at first = 3 u + 24
Number of $20 notes at first = 1 u + 48
The number of $50 and $20 notes at first is the same.
3 u + 24 = 1 u + 48
3 u - 1 u = 48 - 24
2 u = 24
1 u = 24 ÷ 2 = 12
Value of $50-notes left
= 3 u x 50
= 3 x 12 x 50
= $1800
Value of $20-notes left
= 1 u x 20
= 1 x 12 x 20
= $240
Value of notes left
= 1800 + 240
= $2040
Answer(s): $2040