Esther had an equal number of $5 and $20 notes. After spending 29 pieces of $20 and 17 pieces of $5 notes, the ratio of the $5 notes to $20 notes left was 8 : 5. Find the value of the notes left.
| |
$5 |
$20 |
| Before |
8 u + 17 |
5 u + 29 |
| Change |
- 17 |
- 29 |
| After |
8 u |
5 u |
Number of $5 notes at first = 8 u + 17
Number of $20 notes at first = 5 u + 29
The number of $5 and $20 notes at first is the same.
8 u + 17 = 5 u + 29
8 u - 5 u = 29 - 17
3 u = 12
1 u = 12 ÷ 3 = 4
Value of $5-notes left
= 8 u x 5
= 8 x 4 x 5
= $160
Value of $20-notes left
= 5 u x 20
= 5 x 4 x 20
= $400
Value of notes left
= 160 + 400
= $560
Answer(s): $560
