amy paid 64.13 for a pair of running shoes during a 35% sale off. what was the regular price.

Let x = original price of the shoes.

Then the discount is 0.35x; therefore,
x - 0.35x = 65.13.
Solve for x.

i am stumped.

What's the problem? Can you solve the equation? If you can't, what don't you understand?

is it 64.48?

It can't be 64.48 because that's just a few cents more than the sale price.

I'll do it a little differently. Since it's 35% off, he's paying 65% of the original price.

0.65x = 64.13
0.65x/0.65 = 64.13/0.65
x = 98.66

Let's check that answer.

0.35 * 98.66 = 34.53

98.66 - 34.53 = 64.13

Yay! It's right! The original price was $98.66.

To find the regular price of the running shoes, we need to reverse the 35% discount applied to the sale price. Here's the step-by-step method:

1. First, let's determine what portion of the regular price Amy paid by finding the remaining percentage after the discount. Subtract 35% from 100% (the whole price): 100% - 35% = 65%.

2. Next, set up an equation to find the regular price using the portion Amy paid:
Regular Price * 65% = Amy's Paid Price

3. Substitute Amy's paid price into the equation:
Regular Price * 65% = $64.13

4. Now, we need to isolate the regular price to find its value. To do that, divide both sides of the equation by 65% (which is the same as dividing by 0.65):
Regular Price = $64.13 ÷ 0.65

5. Calculate to find the regular price:
Regular Price ≈ $98.66

Therefore, the regular price of the running shoes was approximately $98.66.