Victoria had an equal number of $50 and $20 notes. After spending 25 pieces of $20 and 11 pieces of $50 notes, the ratio of the $50 notes to $20 notes left was 7 : 5. Find the value of the notes left.
| |
$50 |
$20 |
| Before |
7 u + 11 |
5 u + 25 |
| Change |
- 11 |
- 25 |
| After |
7 u |
5 u |
Number of $50 notes at first = 7 u + 11
Number of $20 notes at first = 5 u + 25
The number of $50 and $20 notes at first is the same.
7 u + 11 = 5 u + 25
7 u - 5 u = 25 - 11
2 u = 14
1 u = 14 ÷ 2 = 7
Value of $50-notes left
= 7 u x 50
= 7 x 7 x 50
= $2450
Value of $20-notes left
= 5 u x 20
= 5 x 7 x 20
= $700
Value of notes left
= 2450 + 700
= $3150
Answer(s): $3150
