Winnie had an equal number of $50 and $2 notes. After spending 42 pieces of $2 and 30 pieces of $50 notes, the ratio of the $50 notes to $2 notes left was 7 : 5. Find the value of the notes left.
| |
$50 |
$2 |
| Before |
7 u + 30 |
5 u + 42 |
| Change |
- 30 |
- 42 |
| After |
7 u |
5 u |
Number of $50 notes at first = 7 u + 30
Number of $2 notes at first = 5 u + 42
The number of $50 and $2 notes at first is the same.
7 u + 30 = 5 u + 42
7 u - 5 u = 42 - 30
2 u = 12
1 u = 12 ÷ 2 = 6
Value of $50-notes left
= 7 u x 50
= 7 x 6 x 50
= $2100
Value of $2-notes left
= 5 u x 2
= 5 x 6 x 2
= $60
Value of notes left
= 2100 + 60
= $2160
Answer(s): $2160
