Vanessa had an equal number of $1 and $5 notes. After spending 32 pieces of $5 and 12 pieces of $1 notes, the ratio of the $1 notes to $5 notes left was 5 : 3. Find the value of the notes left.
| |
$1 |
$5 |
| Before |
5 u + 12 |
3 u + 32 |
| Change |
- 12 |
- 32 |
| After |
5 u |
3 u |
Number of $1 notes at first = 5 u + 12
Number of $5 notes at first = 3 u + 32
The number of $1 and $5 notes at first is the same.
5 u + 12 = 3 u + 32
5 u - 3 u = 32 - 12
2 u = 20
1 u = 20 ÷ 2 = 10
Value of $1-notes left
= 5 u x 1
= 5 x 10 x 1
= $50
Value of $5-notes left
= 3 u x 5
= 3 x 10 x 5
= $150
Value of notes left
= 50 + 150
= $200
Answer(s): $200
