Erika had an equal number of $2 and $5 notes. After spending 45 pieces of $5 and 25 pieces of $2 notes, the ratio of the $2 notes to $5 notes left was 7 : 2. Find the value of the notes left.
|
$2 |
$5 |
Before |
7 u + 25 |
2 u + 45 |
Change |
- 25 |
- 45 |
After |
7 u |
2 u |
Number of $2 notes at first = 7 u + 25
Number of $5 notes at first = 2 u + 45
The number of $2 and $5 notes at first is the same.
7 u + 25 = 2 u + 45
7 u - 2 u = 45 - 25
5 u = 20
1 u = 20 ÷ 5 = 4
Value of $2-notes left
= 7 u x 2
= 7 x 4 x 2
= $56
Value of $5-notes left
= 2 u x 5
= 2 x 4 x 5
= $40
Value of notes left
= 56 + 40
= $96
Answer(s): $96