Sabrina had an equal number of $5 and $20 notes. After spending 26 pieces of $20 and 14 pieces of $5 notes, the ratio of the $5 notes to $20 notes left was 7 : 3. Find the value of the notes left.
|
$5 |
$20 |
Before |
7 u + 14 |
3 u + 26 |
Change |
- 14 |
- 26 |
After |
7 u |
3 u |
Number of $5 notes at first = 7 u + 14
Number of $20 notes at first = 3 u + 26
The number of $5 and $20 notes at first is the same.
7 u + 14 = 3 u + 26
7 u - 3 u = 26 - 14
4 u = 12
1 u = 12 ÷ 4 = 3
Value of $5-notes left
= 7 u x 5
= 7 x 3 x 5
= $105
Value of $20-notes left
= 3 u x 20
= 3 x 3 x 20
= $180
Value of notes left
= 105 + 180
= $285
Answer(s): $285