Natalie had an equal number of $10 and $20 notes. After spending 49 pieces of $20 and 19 pieces of $10 notes, the ratio of the $10 notes to $20 notes left was 8 : 5. Find the value of the notes left.
|
$10 |
$20 |
Before |
8 u + 19 |
5 u + 49 |
Change |
- 19 |
- 49 |
After |
8 u |
5 u |
Number of $10 notes at first = 8 u + 19
Number of $20 notes at first = 5 u + 49
The number of $10 and $20 notes at first is the same.
8 u + 19 = 5 u + 49
8 u - 5 u = 49 - 19
3 u = 30
1 u = 30 ÷ 3 = 10
Value of $10-notes left
= 8 u x 10
= 8 x 10 x 10
= $800
Value of $20-notes left
= 5 u x 20
= 5 x 10 x 20
= $1000
Value of notes left
= 800 + 1000
= $1800
Answer(s): $1800