Barbara had an equal number of $20 and $1 notes. After spending 50 pieces of $1 and 23 pieces of $20 notes, the ratio of the $20 notes to $1 notes left was 8 : 5. Find the value of the notes left.
|
$20 |
$1 |
Before |
8 u + 23 |
5 u + 50 |
Change |
- 23 |
- 50 |
After |
8 u |
5 u |
Number of $20 notes at first = 8 u + 23
Number of $1 notes at first = 5 u + 50
The number of $20 and $1 notes at first is the same.
8 u + 23 = 5 u + 50
8 u - 5 u = 50 - 23
3 u = 27
1 u = 27 ÷ 3 = 9
Value of $20-notes left
= 8 u x 20
= 8 x 9 x 20
= $1440
Value of $1-notes left
= 5 u x 1
= 5 x 9 x 1
= $45
Value of notes left
= 1440 + 45
= $1485
Answer(s): $1485