Yoko had an equal number of $100 and $50 notes. After spending 24 pieces of $50 and 14 pieces of $100 notes, the ratio of the $100 notes to $50 notes left was 3 : 1. Find the value of the notes left.
| |
$100 |
$50 |
| Before |
3 u + 14 |
1 u + 24 |
| Change |
- 14 |
- 24 |
| After |
3 u |
1 u |
Number of $100 notes at first = 3 u + 14
Number of $50 notes at first = 1 u + 24
The number of $100 and $50 notes at first is the same.
3 u + 14 = 1 u + 24
3 u - 1 u = 24 - 14
2 u = 10
1 u = 10 ÷ 2 = 5
Value of $100-notes left
= 3 u x 100
= 3 x 5 x 100
= $1500
Value of $50-notes left
= 1 u x 50
= 1 x 5 x 50
= $250
Value of notes left
= 1500 + 250
= $1750
Answer(s): $1750
