Ama bought a laptop computer at a store that gave a 20% discount off its original place. That's an amazing discount. I wonder when she bought it, the total amount she paid to the cashier was p dollars, including an 8% sales tax on the discounted price. All right, which of the following represents the original price of the computer in terms of P. Okay, so which of the following represents the original price in terms of the amount that she ended up paying? So let's write out an equation and basically they're asking us to isolate the original price in terms of the amount that she paid. So I'm going to call Yes, I am going to call the original price x.
Okay. So if the original price is x, let's go little by little step by step with what the problem here said. So they said that the computer store gave her 20 percent discount off the original price. So that means we're going to multiply x the original price by point eight, or 0.8. Okay? Because if we did have a 20% discount, that means we have now the value of the laptop is only 80% of its original value.
That's why we're multiplying by point eight. Okay? Then she got hit with an 8% sales tax. So sales tax, that means you're paying 8% of the total amount extra. So we're multiplying then this whole thing by 1.08. All right, this represents p, this represents the total amount of dollars that she paid.
But the question is asking for which of the following represents the original price, so we want to isolate x in terms of everything else, so let's do that. So x is going to be equal to P divided by 1.08. Then divided by 0.8. Right? All I did was I just tried to isolate x by dividing this than that. So which of the following answers looks most like this?
And D looks like it great.