Linda had an equal number of $50 and $100 notes. After spending 35 pieces of $100 and 28 pieces of $50 notes, the ratio of the $50 notes to $100 notes left was 8 : 1. Find the value of the notes left.
|
$50 |
$100 |
Before |
8 u + 28 |
1 u + 35 |
Change |
- 28 |
- 35 |
After |
8 u |
1 u |
Number of $50 notes at first = 8 u + 28
Number of $100 notes at first = 1 u + 35
The number of $50 and $100 notes at first is the same.
8 u + 28 = 1 u + 35
8 u - 1 u = 35 - 28
7 u = 7
1 u = 7 ÷ 7 = 1
Value of $50-notes left
= 8 u x 50
= 8 x 1 x 50
= $400
Value of $100-notes left
= 1 u x 100
= 1 x 1 x 100
= $100
Value of notes left
= 400 + 100
= $500
Answer(s): $500