Zoe had an equal number of $5 and $50 notes. After spending 41 pieces of $50 and 32 pieces of $5 notes, the ratio of the $5 notes to $50 notes left was 8 : 5. Find the value of the notes left.
| |
$5 |
$50 |
| Before |
8 u + 32 |
5 u + 41 |
| Change |
- 32 |
- 41 |
| After |
8 u |
5 u |
Number of $5 notes at first = 8 u + 32
Number of $50 notes at first = 5 u + 41
The number of $5 and $50 notes at first is the same.
8 u + 32 = 5 u + 41
8 u - 5 u = 41 - 32
3 u = 9
1 u = 9 ÷ 3 = 3
Value of $5-notes left
= 8 u x 5
= 8 x 3 x 5
= $120
Value of $50-notes left
= 5 u x 50
= 5 x 3 x 50
= $750
Value of notes left
= 120 + 750
= $870
Answer(s): $870
