Kylie had an equal number of $10 and $100 notes. After spending 40 pieces of $100 and 16 pieces of $10 notes, the ratio of the $10 notes to $100 notes left was 5 : 1. Find the value of the notes left.
| |
$10 |
$100 |
| Before |
5 u + 16 |
1 u + 40 |
| Change |
- 16 |
- 40 |
| After |
5 u |
1 u |
Number of $10 notes at first = 5 u + 16
Number of $100 notes at first = 1 u + 40
The number of $10 and $100 notes at first is the same.
5 u + 16 = 1 u + 40
5 u - 1 u = 40 - 16
4 u = 24
1 u = 24 ÷ 4 = 6
Value of $10-notes left
= 5 u x 10
= 5 x 6 x 10
= $300
Value of $100-notes left
= 1 u x 100
= 1 x 6 x 100
= $600
Value of notes left
= 300 + 600
= $900
Answer(s): $900
