Eva had an equal number of $100 and $50 notes. After spending 29 pieces of $50 and 23 pieces of $100 notes, the ratio of the $100 notes to $50 notes left was 7 : 4. Find the value of the notes left.
| |
$100 |
$50 |
| Before |
7 u + 23 |
4 u + 29 |
| Change |
- 23 |
- 29 |
| After |
7 u |
4 u |
Number of $100 notes at first = 7 u + 23
Number of $50 notes at first = 4 u + 29
The number of $100 and $50 notes at first is the same.
7 u + 23 = 4 u + 29
7 u - 4 u = 29 - 23
3 u = 6
1 u = 6 ÷ 3 = 2
Value of $100-notes left
= 7 u x 100
= 7 x 2 x 100
= $1400
Value of $50-notes left
= 4 u x 50
= 4 x 2 x 50
= $400
Value of notes left
= 1400 + 400
= $1800
Answer(s): $1800
