Nicole had an equal number of $50 and $5 notes. After spending 25 pieces of $5 and 21 pieces of $50 notes, the ratio of the $50 notes to $5 notes left was 5 : 1. Find the value of the notes left.
| |
$50 |
$5 |
| Before |
5 u + 21 |
1 u + 25 |
| Change |
- 21 |
- 25 |
| After |
5 u |
1 u |
Number of $50 notes at first = 5 u + 21
Number of $5 notes at first = 1 u + 25
The number of $50 and $5 notes at first is the same.
5 u + 21 = 1 u + 25
5 u - 1 u = 25 - 21
4 u = 4
1 u = 4 ÷ 4 = 1
Value of $50-notes left
= 5 u x 50
= 5 x 1 x 50
= $250
Value of $5-notes left
= 1 u x 5
= 1 x 1 x 5
= $5
Value of notes left
= 250 + 5
= $255
Answer(s): $255
