Sabrina had an equal number of $5 and $100 notes. After spending 50 pieces of $100 and 16 pieces of $5 notes, the ratio of the $5 notes to $100 notes left was 5 : 3. Find the value of the notes left.
| |
$5 |
$100 |
| Before |
5 u + 16 |
3 u + 50 |
| Change |
- 16 |
- 50 |
| After |
5 u |
3 u |
Number of $5 notes at first = 5 u + 16
Number of $100 notes at first = 3 u + 50
The number of $5 and $100 notes at first is the same.
5 u + 16 = 3 u + 50
5 u - 3 u = 50 - 16
2 u = 34
1 u = 34 ÷ 2 = 17
Value of $5-notes left
= 5 u x 5
= 5 x 17 x 5
= $425
Value of $100-notes left
= 3 u x 100
= 3 x 17 x 100
= $5100
Value of notes left
= 425 + 5100
= $5525
Answer(s): $5525
