Julie had an equal number of $20 and $50 notes. After spending 25 pieces of $50 and 13 pieces of $20 notes, the ratio of the $20 notes to $50 notes left was 7 : 5. Find the value of the notes left.
| |
$20 |
$50 |
| Before |
7 u + 13 |
5 u + 25 |
| Change |
- 13 |
- 25 |
| After |
7 u |
5 u |
Number of $20 notes at first = 7 u + 13
Number of $50 notes at first = 5 u + 25
The number of $20 and $50 notes at first is the same.
7 u + 13 = 5 u + 25
7 u - 5 u = 25 - 13
2 u = 12
1 u = 12 ÷ 2 = 6
Value of $20-notes left
= 7 u x 20
= 7 x 6 x 20
= $840
Value of $50-notes left
= 5 u x 50
= 5 x 6 x 50
= $1500
Value of notes left
= 840 + 1500
= $2340
Answer(s): $2340
