Jade had an equal number of $2 and $50 notes. After spending 36 pieces of $50 and 28 pieces of $2 notes, the ratio of the $2 notes to $50 notes left was 5 : 3. Find the value of the notes left.
| |
$2 |
$50 |
| Before |
5 u + 28 |
3 u + 36 |
| Change |
- 28 |
- 36 |
| After |
5 u |
3 u |
Number of $2 notes at first = 5 u + 28
Number of $50 notes at first = 3 u + 36
The number of $2 and $50 notes at first is the same.
5 u + 28 = 3 u + 36
5 u - 3 u = 36 - 28
2 u = 8
1 u = 8 ÷ 2 = 4
Value of $2-notes left
= 5 u x 2
= 5 x 4 x 2
= $40
Value of $50-notes left
= 3 u x 50
= 3 x 4 x 50
= $600
Value of notes left
= 40 + 600
= $640
Answer(s): $640
