Anna had an equal number of $20 and $50 notes. After spending 37 pieces of $50 and 27 pieces of $20 notes, the ratio of the $20 notes to $50 notes left was 7 : 2. Find the value of the notes left.
|
$20 |
$50 |
Before |
7 u + 27 |
2 u + 37 |
Change |
- 27 |
- 37 |
After |
7 u |
2 u |
Number of $20 notes at first = 7 u + 27
Number of $50 notes at first = 2 u + 37
The number of $20 and $50 notes at first is the same.
7 u + 27 = 2 u + 37
7 u - 2 u = 37 - 27
5 u = 10
1 u = 10 ÷ 5 = 2
Value of $20-notes left
= 7 u x 20
= 7 x 2 x 20
= $280
Value of $50-notes left
= 2 u x 50
= 2 x 2 x 50
= $200
Value of notes left
= 280 + 200
= $480
Answer(s): $480