Question

Carter paid $201.75 for a camera and a memory card. If the 32 gb memory card costs $12.35, and a discount of 20% is given to the camera, find the regular price of the camera. Estimate it to the nearest whole number.
$231
$237
$241
$245

Answer 1

Let the regular price of the camera be \( x \).

First, we calculate the price of the memory card:
\[
\text{Price of memory card} = 12.35
\]

Next, we know that the total amount paid for both the camera and the memory card is $201.75. Therefore, we can set up the equation:
\[
x - 0.2x + 12.35 = 201.75
\]
This simplifies to:
\[
0.8x + 12.35 = 201.75
\]

Now, let's isolate \( 0.8x \):
\[
0.8x = 201.75 - 12.35
\]
Calculate \( 201.75 - 12.35 \):
\[
201.75 - 12.35 = 189.40
\]
So we have:
\[
0.8x = 189.40
\]

Now, divide both sides by 0.8 to find \( x \):
\[
x = \frac{189.40}{0.8} = 236.75
\]

Rounding \( 236.75 \) to the nearest whole number gives us:
\[
\text{Regular price of the camera} \approx 237
\]

Thus, the regular price of the camera is \( \boxed{237} \).