Shiyun had an equal number of $2 and $20 notes. After spending 39 pieces of $20 and 12 pieces of $2 notes, the ratio of the $2 notes to $20 notes left was 8 : 5. Find the value of the notes left.
|
$2 |
$20 |
Before |
8 u + 12 |
5 u + 39 |
Change |
- 12 |
- 39 |
After |
8 u |
5 u |
Number of $2 notes at first = 8 u + 12
Number of $20 notes at first = 5 u + 39
The number of $2 and $20 notes at first is the same.
8 u + 12 = 5 u + 39
8 u - 5 u = 39 - 12
3 u = 27
1 u = 27 ÷ 3 = 9
Value of $2-notes left
= 8 u x 2
= 8 x 9 x 2
= $144
Value of $20-notes left
= 5 u x 20
= 5 x 9 x 20
= $900
Value of notes left
= 144 + 900
= $1044
Answer(s): $1044