Gillian had an equal number of $50 and $2 notes. After spending 39 pieces of $2 and 36 pieces of $50 notes, the ratio of the $50 notes to $2 notes left was 8 : 5. Find the value of the notes left.
| |
$50 |
$2 |
| Before |
8 u + 36 |
5 u + 39 |
| Change |
- 36 |
- 39 |
| After |
8 u |
5 u |
Number of $50 notes at first = 8 u + 36
Number of $2 notes at first = 5 u + 39
The number of $50 and $2 notes at first is the same.
8 u + 36 = 5 u + 39
8 u - 5 u = 39 - 36
3 u = 3
1 u = 3 ÷ 3 = 1
Value of $50-notes left
= 8 u x 50
= 8 x 1 x 50
= $400
Value of $2-notes left
= 5 u x 2
= 5 x 1 x 2
= $10
Value of notes left
= 400 + 10
= $410
Answer(s): $410
