Question

There is a 25 cent discount per apple if 4 are purchased. Eve was making apple pie this weekend and brought 12 apples for $15. To find the original price of each apple which represents the equation to solve the problem algebraically?
12(× +0.25)=15
12(× -0.25)=15
3(× -0.25)=15
3(× +0.25)15

Answer 1

To find the original price per apple, let's break down the problem:

1. Let \( x \) be the original price per apple.
2. When Eve buys 4 apples, she gets a $0.25 discount per apple. Therefore, the price per apple when she buys 4 is \( x - 0.25 \).
3. Since she bought 12 apples, for the first 4 she would pay:
\[
4(x - 0.25)
\]
and for the remaining 8 apples, she would pay the full price:
\[
8x
\]
4. The total cost for 12 apples can be expressed by combining these two parts. So, the total cost equation will be:
\[
4(x - 0.25) + 8x = 15
\]

Now let's simplify the total cost:
- Expanding \( 4(x - 0.25) \):
\[
4x - 1
\]
- Therefore the equation becomes:
\[
4x - 1 + 8x = 15
\]
which simplifies to:
\[
12x - 1 = 15
\]

So, among the provided options, the equation that correctly represents the original scenario is not listed, and we should solve for \( x \) using \( 12(x - 0.25) = 15 \) or \( 12(x - 0.25) + 8x = 15 \) if it went with a total price but \( 12(x + 0.25) \) is wrong.

However, if we simplify from those equations:
- The closest to this would be \( 12(× - 0.25) = 15 \) since you're paying \( (x-0.25) \).

Thus, the correct equation to solve for the original price per apple based on the given options would be:
\[
\text{Select } 12(× - 0.25) = 15.
\]

Nonetheless, ensure to calculate as per the definitions above accordingly!