Hilda had an equal number of $2 and $50 notes. After spending 49 pieces of $50 and 24 pieces of $2 notes, the ratio of the $2 notes to $50 notes left was 8 : 3. Find the value of the notes left.
|
$2 |
$50 |
Before |
8 u + 24 |
3 u + 49 |
Change |
- 24 |
- 49 |
After |
8 u |
3 u |
Number of $2 notes at first = 8 u + 24
Number of $50 notes at first = 3 u + 49
The number of $2 and $50 notes at first is the same.
8 u + 24 = 3 u + 49
8 u - 3 u = 49 - 24
5 u = 25
1 u = 25 ÷ 5 = 5
Value of $2-notes left
= 8 u x 2
= 8 x 5 x 2
= $80
Value of $50-notes left
= 3 u x 50
= 3 x 5 x 50
= $750
Value of notes left
= 80 + 750
= $830
Answer(s): $830