Cindy had an equal number of $5 and $50 notes. After spending 29 pieces of $50 and 25 pieces of $5 notes, the ratio of the $5 notes to $50 notes left was 5 : 1. Find the value of the notes left.
| |
$5 |
$50 |
| Before |
5 u + 25 |
1 u + 29 |
| Change |
- 25 |
- 29 |
| After |
5 u |
1 u |
Number of $5 notes at first = 5 u + 25
Number of $50 notes at first = 1 u + 29
The number of $5 and $50 notes at first is the same.
5 u + 25 = 1 u + 29
5 u - 1 u = 29 - 25
4 u = 4
1 u = 4 ÷ 4 = 1
Value of $5-notes left
= 5 u x 5
= 5 x 1 x 5
= $25
Value of $50-notes left
= 1 u x 50
= 1 x 1 x 50
= $50
Value of notes left
= 25 + 50
= $75
Answer(s): $75
