Lucy had an equal number of $50 and $20 notes. After spending 41 pieces of $20 and 25 pieces of $50 notes, the ratio of the $50 notes to $20 notes left was 7 : 3. Find the value of the notes left.
|
$50 |
$20 |
Before |
7 u + 25 |
3 u + 41 |
Change |
- 25 |
- 41 |
After |
7 u |
3 u |
Number of $50 notes at first = 7 u + 25
Number of $20 notes at first = 3 u + 41
The number of $50 and $20 notes at first is the same.
7 u + 25 = 3 u + 41
7 u - 3 u = 41 - 25
4 u = 16
1 u = 16 ÷ 4 = 4
Value of $50-notes left
= 7 u x 50
= 7 x 4 x 50
= $1400
Value of $20-notes left
= 3 u x 20
= 3 x 4 x 20
= $240
Value of notes left
= 1400 + 240
= $1640
Answer(s): $1640