Roshel had an equal number of $20 and $5 notes. After spending 47 pieces of $5 and 23 pieces of $20 notes, the ratio of the $20 notes to $5 notes left was 7 : 4. Find the value of the notes left.
| |
$20 |
$5 |
| Before |
7 u + 23 |
4 u + 47 |
| Change |
- 23 |
- 47 |
| After |
7 u |
4 u |
Number of $20 notes at first = 7 u + 23
Number of $5 notes at first = 4 u + 47
The number of $20 and $5 notes at first is the same.
7 u + 23 = 4 u + 47
7 u - 4 u = 47 - 23
3 u = 24
1 u = 24 ÷ 3 = 8
Value of $20-notes left
= 7 u x 20
= 7 x 8 x 20
= $1120
Value of $5-notes left
= 4 u x 5
= 4 x 8 x 5
= $160
Value of notes left
= 1120 + 160
= $1280
Answer(s): $1280
