Esther had an equal number of $100 and $5 notes. After spending 28 pieces of $5 and 23 pieces of $100 notes, the ratio of the $100 notes to $5 notes left was 8 : 3. Find the value of the notes left.
| |
$100 |
$5 |
| Before |
8 u + 23 |
3 u + 28 |
| Change |
- 23 |
- 28 |
| After |
8 u |
3 u |
Number of $100 notes at first = 8 u + 23
Number of $5 notes at first = 3 u + 28
The number of $100 and $5 notes at first is the same.
8 u + 23 = 3 u + 28
8 u - 3 u = 28 - 23
5 u = 5
1 u = 5 ÷ 5 = 1
Value of $100-notes left
= 8 u x 100
= 8 x 1 x 100
= $800
Value of $5-notes left
= 3 u x 5
= 3 x 1 x 5
= $15
Value of notes left
= 800 + 15
= $815
Answer(s): $815
