Lynn had an equal number of $5 and $1 notes. After spending 42 pieces of $1 and 26 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 + 26 |
1 u + 42 |
| Change |
- 26 |
- 42 |
| After |
5 u |
1 u |
Number of $5 notes at first = 5 u + 26
Number of $1 notes at first = 1 u + 42
The number of $5 and $1 notes at first is the same.
5 u + 26 = 1 u + 42
5 u - 1 u = 42 - 26
4 u = 16
1 u = 16 ÷ 4 = 4
Value of $5-notes left
= 5 u x 5
= 5 x 4 x 5
= $100
Value of $1-notes left
= 1 u x 1
= 1 x 4 x 1
= $4
Value of notes left
= 100 + 4
= $104
Answer(s): $104
