Jade had an equal number of $100 and $5 notes. After spending 25 pieces of $5 and 15 pieces of $100 notes, the ratio of the $100 notes to $5 notes left was 5 : 3. Find the value of the notes left.
|
$100 |
$5 |
Before |
5 u + 15 |
3 u + 25 |
Change |
- 15 |
- 25 |
After |
5 u |
3 u |
Number of $100 notes at first = 5 u + 15
Number of $5 notes at first = 3 u + 25
The number of $100 and $5 notes at first is the same.
5 u + 15 = 3 u + 25
5 u - 3 u = 25 - 15
2 u = 10
1 u = 10 ÷ 2 = 5
Value of $100-notes left
= 5 u x 100
= 5 x 5 x 100
= $2500
Value of $5-notes left
= 3 u x 5
= 3 x 5 x 5
= $75
Value of notes left
= 2500 + 75
= $2575
Answer(s): $2575