Zoe had an equal number of $50 and $5 notes. After spending 48 pieces of $5 and 38 pieces of $50 notes, the ratio of the $50 notes to $5 notes left was 7 : 5. Find the value of the notes left.
|
$50 |
$5 |
Before |
7 u + 38 |
5 u + 48 |
Change |
- 38 |
- 48 |
After |
7 u |
5 u |
Number of $50 notes at first = 7 u + 38
Number of $5 notes at first = 5 u + 48
The number of $50 and $5 notes at first is the same.
7 u + 38 = 5 u + 48
7 u - 5 u = 48 - 38
2 u = 10
1 u = 10 ÷ 2 = 5
Value of $50-notes left
= 7 u x 50
= 7 x 5 x 50
= $1750
Value of $5-notes left
= 5 u x 5
= 5 x 5 x 5
= $125
Value of notes left
= 1750 + 125
= $1875
Answer(s): $1875