Shannon had an equal number of $5 and $100 notes. After spending 32 pieces of $100 and 12 pieces of $5 notes, the ratio of the $5 notes to $100 notes left was 3 : 1. Find the value of the notes left.
| |
$5 |
$100 |
| Before |
3 u + 12 |
1 u + 32 |
| Change |
- 12 |
- 32 |
| After |
3 u |
1 u |
Number of $5 notes at first = 3 u + 12
Number of $100 notes at first = 1 u + 32
The number of $5 and $100 notes at first is the same.
3 u + 12 = 1 u + 32
3 u - 1 u = 32 - 12
2 u = 20
1 u = 20 ÷ 2 = 10
Value of $5-notes left
= 3 u x 5
= 3 x 10 x 5
= $150
Value of $100-notes left
= 1 u x 100
= 1 x 10 x 100
= $1000
Value of notes left
= 150 + 1000
= $1150
Answer(s): $1150
