Yen had an equal number of $20 and $1 notes. After spending 43 pieces of $1 and 37 pieces of $20 notes, the ratio of the $20 notes to $1 notes left was 5 : 2. Find the value of the notes left.
|
$20 |
$1 |
Before |
5 u + 37 |
2 u + 43 |
Change |
- 37 |
- 43 |
After |
5 u |
2 u |
Number of $20 notes at first = 5 u + 37
Number of $1 notes at first = 2 u + 43
The number of $20 and $1 notes at first is the same.
5 u + 37 = 2 u + 43
5 u - 2 u = 43 - 37
3 u = 6
1 u = 6 ÷ 3 = 2
Value of $20-notes left
= 5 u x 20
= 5 x 2 x 20
= $200
Value of $1-notes left
= 2 u x 1
= 2 x 2 x 1
= $4
Value of notes left
= 200 + 4
= $204
Answer(s): $204