Opal had an equal number of $50 and $2 notes. After spending 40 pieces of $2 and 30 pieces of $50 notes, the ratio of the $50 notes to $2 notes left was 5 : 3. Find the value of the notes left.
| |
$50 |
$2 |
| Before |
5 u + 30 |
3 u + 40 |
| Change |
- 30 |
- 40 |
| After |
5 u |
3 u |
Number of $50 notes at first = 5 u + 30
Number of $2 notes at first = 3 u + 40
The number of $50 and $2 notes at first is the same.
5 u + 30 = 3 u + 40
5 u - 3 u = 40 - 30
2 u = 10
1 u = 10 ÷ 2 = 5
Value of $50-notes left
= 5 u x 50
= 5 x 5 x 50
= $1250
Value of $2-notes left
= 3 u x 2
= 3 x 5 x 2
= $30
Value of notes left
= 1250 + 30
= $1280
Answer(s): $1280
