Vanessa had an equal number of $100 and $50 notes. After spending 36 pieces of $50 and 15 pieces of $100 notes, the ratio of the $100 notes to $50 notes left was 8 : 5. Find the value of the notes left.
| |
$100 |
$50 |
| Before |
8 u + 15 |
5 u + 36 |
| Change |
- 15 |
- 36 |
| After |
8 u |
5 u |
Number of $100 notes at first = 8 u + 15
Number of $50 notes at first = 5 u + 36
The number of $100 and $50 notes at first is the same.
8 u + 15 = 5 u + 36
8 u - 5 u = 36 - 15
3 u = 21
1 u = 21 ÷ 3 = 7
Value of $100-notes left
= 8 u x 100
= 8 x 7 x 100
= $5600
Value of $50-notes left
= 5 u x 50
= 5 x 7 x 50
= $1750
Value of notes left
= 5600 + 1750
= $7350
Answer(s): $7350
