Linda had an equal number of $2 and $100 notes. After spending 34 pieces of $100 and 13 pieces of $2 notes, the ratio of the $2 notes to $100 notes left was 8 : 1. Find the value of the notes left.
|
$2 |
$100 |
Before |
8 u + 13 |
1 u + 34 |
Change |
- 13 |
- 34 |
After |
8 u |
1 u |
Number of $2 notes at first = 8 u + 13
Number of $100 notes at first = 1 u + 34
The number of $2 and $100 notes at first is the same.
8 u + 13 = 1 u + 34
8 u - 1 u = 34 - 13
7 u = 21
1 u = 21 ÷ 7 = 3
Value of $2-notes left
= 8 u x 2
= 8 x 3 x 2
= $48
Value of $100-notes left
= 1 u x 100
= 1 x 3 x 100
= $300
Value of notes left
= 48 + 300
= $348
Answer(s): $348