Kylie had an equal number of $50 and $10 notes. After spending 45 pieces of $10 and 21 pieces of $50 notes, the ratio of the $50 notes to $10 notes left was 4 : 1. Find the value of the notes left.
| |
$50 |
$10 |
| Before |
4 u + 21 |
1 u + 45 |
| Change |
- 21 |
- 45 |
| After |
4 u |
1 u |
Number of $50 notes at first = 4 u + 21
Number of $10 notes at first = 1 u + 45
The number of $50 and $10 notes at first is the same.
4 u + 21 = 1 u + 45
4 u - 1 u = 45 - 21
3 u = 24
1 u = 24 ÷ 3 = 8
Value of $50-notes left
= 4 u x 50
= 4 x 8 x 50
= $1600
Value of $10-notes left
= 1 u x 10
= 1 x 8 x 10
= $80
Value of notes left
= 1600 + 80
= $1680
Answer(s): $1680
