Lynn had an equal number of $20 and $50 notes. After spending 19 pieces of $50 and 11 pieces of $20 notes, the ratio of the $20 notes to $50 notes left was 3 : 1. Find the value of the notes left.
|
$20 |
$50 |
Before |
3 u + 11 |
1 u + 19 |
Change |
- 11 |
- 19 |
After |
3 u |
1 u |
Number of $20 notes at first = 3 u + 11
Number of $50 notes at first = 1 u + 19
The number of $20 and $50 notes at first is the same.
3 u + 11 = 1 u + 19
3 u - 1 u = 19 - 11
2 u = 8
1 u = 8 ÷ 2 = 4
Value of $20-notes left
= 3 u x 20
= 3 x 4 x 20
= $240
Value of $50-notes left
= 1 u x 50
= 1 x 4 x 50
= $200
Value of notes left
= 240 + 200
= $440
Answer(s): $440