Xylia had an equal number of $50 and $100 notes. After spending 35 pieces of $100 and 10 pieces of $50 notes, the ratio of the $50 notes to $100 notes left was 8 : 3. Find the value of the notes left.
|
$50 |
$100 |
Before |
8 u + 10 |
3 u + 35 |
Change |
- 10 |
- 35 |
After |
8 u |
3 u |
Number of $50 notes at first = 8 u + 10
Number of $100 notes at first = 3 u + 35
The number of $50 and $100 notes at first is the same.
8 u + 10 = 3 u + 35
8 u - 3 u = 35 - 10
5 u = 25
1 u = 25 ÷ 5 = 5
Value of $50-notes left
= 8 u x 50
= 8 x 5 x 50
= $2000
Value of $100-notes left
= 3 u x 100
= 3 x 5 x 100
= $1500
Value of notes left
= 2000 + 1500
= $3500
Answer(s): $3500