Roshel had an equal number of $50 and $100 notes. After spending 42 pieces of $100 and 39 pieces of $50 notes, the ratio of the $50 notes to $100 notes left was 4 : 1. Find the value of the notes left.
|
$50 |
$100 |
Before |
4 u + 39 |
1 u + 42 |
Change |
- 39 |
- 42 |
After |
4 u |
1 u |
Number of $50 notes at first = 4 u + 39
Number of $100 notes at first = 1 u + 42
The number of $50 and $100 notes at first is the same.
4 u + 39 = 1 u + 42
4 u - 1 u = 42 - 39
3 u = 3
1 u = 3 ÷ 3 = 1
Value of $50-notes left
= 4 u x 50
= 4 x 1 x 50
= $200
Value of $100-notes left
= 1 u x 100
= 1 x 1 x 100
= $100
Value of notes left
= 200 + 100
= $300
Answer(s): $300