Lucy had an equal number of $2 and $100 notes. After spending 42 pieces of $100 and 32 pieces of $2 notes, the ratio of the $2 notes to $100 notes left was 8 : 3. Find the value of the notes left.
|
$2 |
$100 |
Before |
8 u + 32 |
3 u + 42 |
Change |
- 32 |
- 42 |
After |
8 u |
3 u |
Number of $2 notes at first = 8 u + 32
Number of $100 notes at first = 3 u + 42
The number of $2 and $100 notes at first is the same.
8 u + 32 = 3 u + 42
8 u - 3 u = 42 - 32
5 u = 10
1 u = 10 ÷ 5 = 2
Value of $2-notes left
= 8 u x 2
= 8 x 2 x 2
= $32
Value of $100-notes left
= 3 u x 100
= 3 x 2 x 100
= $600
Value of notes left
= 32 + 600
= $632
Answer(s): $632