Hazel had an equal number of $5 and $1 notes. After spending 50 pieces of $1 and 18 pieces of $5 notes, the ratio of the $5 notes to $1 notes left was 5 : 1. Find the value of the notes left.
|
$5 |
$1 |
Before |
5 u + 18 |
1 u + 50 |
Change |
- 18 |
- 50 |
After |
5 u |
1 u |
Number of $5 notes at first = 5 u + 18
Number of $1 notes at first = 1 u + 50
The number of $5 and $1 notes at first is the same.
5 u + 18 = 1 u + 50
5 u - 1 u = 50 - 18
4 u = 32
1 u = 32 ÷ 4 = 8
Value of $5-notes left
= 5 u x 5
= 5 x 8 x 5
= $200
Value of $1-notes left
= 1 u x 1
= 1 x 8 x 1
= $8
Value of notes left
= 200 + 8
= $208
Answer(s): $208