a store owner buys a coats for $56 each. She adds 30% to the cost and sells the coats at 15% off. Find what the regular price is?

Not sure what the "regular" price is supposed to be here.

If it just includes the 30% markup, then it is 56 * 1.30

If it also includes the 15% discount, then it is 56 * 1.30 * (1 - 0.15)

oh lol sorry it is the selling price not the regular price my bad!

i think I figured it out would it be

0.30*56=16.8
16.8*0.15=2.52 which is the discount.
16.8-2.52=$14.28
so the coat costs $14.28 dollars?

is that right?

nope. Did you do a sanity check? Can you not see how unreasonable that selling price is? Take a look at my calculations, and you should see where you went wrong.

ok I got it lol!!

0.30*56=16.8
56+16.8=72.8
0.15*72.8=10.92
72.8-10.92=61.88
so the coats sell for $61.88

I think thats it!! these kinda questions usually don't stump me I just forgot one step all together!! thanks this was really helpful

To find the regular price of the coats, we need to follow these steps:

1. Determine the selling price:
- The store owner adds 30% to the cost, which means she increases the cost by (30/100) * $56 = $16.80.
- Therefore, the selling price is $56 + $16.80 = $72.80.

2. Calculate the discounted price:
- The store owner sells the coats at 15% off, which means she reduces the selling price by (15/100) * $72.80 = $10.92.
- Therefore, the discounted price is $72.80 - $10.92 = $61.88.

3. Find the regular price:
- The regular price is the original price of the coats before any discounts or increases.
- Since the store owner added a 30% increase and then applied a 15% discount, we can say that the discounted price is equal to 85% of the regular price.
- Mathematically, we can express this as: $61.88 = (85/100) * Regular Price.
- To find the regular price, we can rearrange the equation as follows:
Regular Price = $61.88 / (85/100) = $61.88 * (100/85) = $72.80.

Therefore, the regular price of the coats is $72.80.