Jane had an equal number of $100 and $10 notes. After spending 24 pieces of $10 and 12 pieces of $100 notes, the ratio of the $100 notes to $10 notes left was 8 : 5. Find the value of the notes left.
| |
$100 |
$10 |
| Before |
8 u + 12 |
5 u + 24 |
| Change |
- 12 |
- 24 |
| After |
8 u |
5 u |
Number of $100 notes at first = 8 u + 12
Number of $10 notes at first = 5 u + 24
The number of $100 and $10 notes at first is the same.
8 u + 12 = 5 u + 24
8 u - 5 u = 24 - 12
3 u = 12
1 u = 12 ÷ 3 = 4
Value of $100-notes left
= 8 u x 100
= 8 x 4 x 100
= $3200
Value of $10-notes left
= 5 u x 10
= 5 x 4 x 10
= $200
Value of notes left
= 3200 + 200
= $3400
Answer(s): $3400
