Sarah had an equal number of $100 and $50 notes. After spending 19 pieces of $50 and 10 pieces of $100 notes, the ratio of the $100 notes to $50 notes left was 5 : 2. Find the value of the notes left.
| |
$100 |
$50 |
| Before |
5 u + 10 |
2 u + 19 |
| Change |
- 10 |
- 19 |
| After |
5 u |
2 u |
Number of $100 notes at first = 5 u + 10
Number of $50 notes at first = 2 u + 19
The number of $100 and $50 notes at first is the same.
5 u + 10 = 2 u + 19
5 u - 2 u = 19 - 10
3 u = 9
1 u = 9 ÷ 3 = 3
Value of $100-notes left
= 5 u x 100
= 5 x 3 x 100
= $1500
Value of $50-notes left
= 2 u x 50
= 2 x 3 x 50
= $300
Value of notes left
= 1500 + 300
= $1800
Answer(s): $1800
