Diana had an equal number of $100 and $50 notes. After spending 49 pieces of $50 and 14 pieces of $100 notes, the ratio of the $100 notes to $50 notes left was 8 : 3. Find the value of the notes left.
| |
$100 |
$50 |
| Before |
8 u + 14 |
3 u + 49 |
| Change |
- 14 |
- 49 |
| After |
8 u |
3 u |
Number of $100 notes at first = 8 u + 14
Number of $50 notes at first = 3 u + 49
The number of $100 and $50 notes at first is the same.
8 u + 14 = 3 u + 49
8 u - 3 u = 49 - 14
5 u = 35
1 u = 35 ÷ 5 = 7
Value of $100-notes left
= 8 u x 100
= 8 x 7 x 100
= $5600
Value of $50-notes left
= 3 u x 50
= 3 x 7 x 50
= $1050
Value of notes left
= 5600 + 1050
= $6650
Answer(s): $6650
