Kylie had an equal number of $50 and $100 notes. After spending 48 pieces of $100 and 15 pieces of $50 notes, the ratio of the $50 notes to $100 notes left was 5 : 2. Find the value of the notes left.
| |
$50 |
$100 |
| Before |
5 u + 15 |
2 u + 48 |
| Change |
- 15 |
- 48 |
| After |
5 u |
2 u |
Number of $50 notes at first = 5 u + 15
Number of $100 notes at first = 2 u + 48
The number of $50 and $100 notes at first is the same.
5 u + 15 = 2 u + 48
5 u - 2 u = 48 - 15
3 u = 33
1 u = 33 ÷ 3 = 11
Value of $50-notes left
= 5 u x 50
= 5 x 11 x 50
= $2750
Value of $100-notes left
= 2 u x 100
= 2 x 11 x 100
= $2200
Value of notes left
= 2750 + 2200
= $4950
Answer(s): $4950
