Min had an equal number of $100 and $5 notes. After spending 41 pieces of $5 and 29 pieces of $100 notes, the ratio of the $100 notes to $5 notes left was 5 : 1. Find the value of the notes left.
| |
$100 |
$5 |
| Before |
5 u + 29 |
1 u + 41 |
| Change |
- 29 |
- 41 |
| After |
5 u |
1 u |
Number of $100 notes at first = 5 u + 29
Number of $5 notes at first = 1 u + 41
The number of $100 and $5 notes at first is the same.
5 u + 29 = 1 u + 41
5 u - 1 u = 41 - 29
4 u = 12
1 u = 12 ÷ 4 = 3
Value of $100-notes left
= 5 u x 100
= 5 x 3 x 100
= $1500
Value of $5-notes left
= 1 u x 5
= 1 x 3 x 5
= $15
Value of notes left
= 1500 + 15
= $1515
Answer(s): $1515
