Emma had an equal number of $2 and $50 notes. After spending 47 pieces of $50 and 27 pieces of $2 notes, the ratio of the $2 notes to $50 notes left was 5 : 1. Find the value of the notes left.
|
$2 |
$50 |
Before |
5 u + 27 |
1 u + 47 |
Change |
- 27 |
- 47 |
After |
5 u |
1 u |
Number of $2 notes at first = 5 u + 27
Number of $50 notes at first = 1 u + 47
The number of $2 and $50 notes at first is the same.
5 u + 27 = 1 u + 47
5 u - 1 u = 47 - 27
4 u = 20
1 u = 20 ÷ 4 = 5
Value of $2-notes left
= 5 u x 2
= 5 x 5 x 2
= $50
Value of $50-notes left
= 1 u x 50
= 1 x 5 x 50
= $250
Value of notes left
= 50 + 250
= $300
Answer(s): $300