Answer:
Option A is correct.
Explanation:
Let the full price of the wallet be represented by = x
Total amount that Nathan paid for the wallet = $17.67
Discount percentage = 5% or 0.05 = 0.05x (5% of full price)
So, equation becomes: full price - discount price = 17.67
![x-0.05x=17.67](https://img.qammunity.org/2019/formulas/mathematics/middle-school/jqlk7xtnua03bn7hnaxdjr8aela5s9ug01.png)
![0.95x=17.67](https://img.qammunity.org/2019/formulas/mathematics/middle-school/yj3a8c1m1hnzxd011mpaqrwq9ianjj2hcz.png)
x = $18.60
Therefore, the full price of the wallet is $18.60.
We can also check this by taking out 5% of 18.60
![0.05*18.60=0.93](https://img.qammunity.org/2019/formulas/mathematics/middle-school/ibem6w9b6ygvewdrf4j9je5sayhyyrusux.png)
And
![18.60-0.93=17.67](https://img.qammunity.org/2019/formulas/mathematics/middle-school/kv5xug6jgt6s2je65wzckh0wj2nf14nl7j.png)
So, option A is correct.