Kimberly had an equal number of $5 and $50 notes. After spending 38 pieces of $50 and 26 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 + 26 |
1 u + 38 |
| Change |
- 26 |
- 38 |
| After |
5 u |
1 u |
Number of $5 notes at first = 5 u + 26
Number of $50 notes at first = 1 u + 38
The number of $5 and $50 notes at first is the same.
5 u + 26 = 1 u + 38
5 u - 1 u = 38 - 26
4 u = 12
1 u = 12 ÷ 4 = 3
Value of $5-notes left
= 5 u x 5
= 5 x 3 x 5
= $75
Value of $50-notes left
= 1 u x 50
= 1 x 3 x 50
= $150
Value of notes left
= 75 + 150
= $225
Answer(s): $225
