Ivory had an equal number of $50 and $2 notes. After spending 24 pieces of $2 and 20 pieces of $50 notes, the ratio of the $50 notes to $2 notes left was 5 : 1. Find the value of the notes left.
| |
$50 |
$2 |
| Before |
5 u + 20 |
1 u + 24 |
| Change |
- 20 |
- 24 |
| After |
5 u |
1 u |
Number of $50 notes at first = 5 u + 20
Number of $2 notes at first = 1 u + 24
The number of $50 and $2 notes at first is the same.
5 u + 20 = 1 u + 24
5 u - 1 u = 24 - 20
4 u = 4
1 u = 4 ÷ 4 = 1
Value of $50-notes left
= 5 u x 50
= 5 x 1 x 50
= $250
Value of $2-notes left
= 1 u x 2
= 1 x 1 x 2
= $2
Value of notes left
= 250 + 2
= $252
Answer(s): $252
