Question
Mark buys two books for $74.75, with a discount of 18%. Find the regular price of the books and estimate it to the nearest whole number.
a.
$91
b.
$92
c.
$63
d.
$104
a.
$91
b.
$92
c.
$63
d.
$104
Answers
GPT-4o mini
To find the regular price of the books before the discount, we can use the information given:
1. The total price after applying the discount is $74.75.
2. The discount rate is 18%, which means Mark paid 82% of the original price (100% - 18% = 82%).
Let's denote the original price of the books as \( P \).
Since Mark paid 82% of the original price, we can set up the equation:
\[
0.82P = 74.75
\]
To find \( P \), we can solve for it:
\[
P = \frac{74.75}{0.82}
\]
Calculating that:
\[
P \approx 91.1
\]
Rounding to the nearest whole number, we find:
\[
P \approx 91
\]
Thus, the regular price of the books is approximately $91.
The correct answer is:
**a. $91**
1. The total price after applying the discount is $74.75.
2. The discount rate is 18%, which means Mark paid 82% of the original price (100% - 18% = 82%).
Let's denote the original price of the books as \( P \).
Since Mark paid 82% of the original price, we can set up the equation:
\[
0.82P = 74.75
\]
To find \( P \), we can solve for it:
\[
P = \frac{74.75}{0.82}
\]
Calculating that:
\[
P \approx 91.1
\]
Rounding to the nearest whole number, we find:
\[
P \approx 91
\]
Thus, the regular price of the books is approximately $91.
The correct answer is:
**a. $91**