Diana had an equal number of $5 and $100 notes. After spending 30 pieces of $100 and 21 pieces of $5 notes, the ratio of the $5 notes to $100 notes left was 5 : 2. Find the value of the notes left.
| |
$5 |
$100 |
| Before |
5 u + 21 |
2 u + 30 |
| Change |
- 21 |
- 30 |
| After |
5 u |
2 u |
Number of $5 notes at first = 5 u + 21
Number of $100 notes at first = 2 u + 30
The number of $5 and $100 notes at first is the same.
5 u + 21 = 2 u + 30
5 u - 2 u = 30 - 21
3 u = 9
1 u = 9 ÷ 3 = 3
Value of $5-notes left
= 5 u x 5
= 5 x 3 x 5
= $75
Value of $100-notes left
= 2 u x 100
= 2 x 3 x 100
= $600
Value of notes left
= 75 + 600
= $675
Answer(s): $675
