After a 20% reduction, you purchase a television for $336. What w...

Question

After a 20% reduction, you purchase a television for $336. What was the television’s price before the reduction?

Accepted Answer

Welcome back. I'm so glad you're here. Somebody bought a mobile phone and they bought it on sale. They bought it on sale for $510. So we'll label that with our variable sp. For our sales price of $510. And what other variables do we have? Well the original price, the O. P. That's what we're looking for. We don't know what the original price or the O. P. Was but we do know what the discount was. It was a 15% discount and we think of the discount 15% of The original price where we could rewrite that 15% is also .15 of means multiplying so 50. times the original price. And we can think of this math sentence here as well. We take the original price minus our discount and that's going to equal our selling price. And now let's just plug in what we know Opie we don't know the original price. We're trying to find that minus the discount. Let's use this 0.150. P. For the discount. So the O. P minus 00.150. P. Equals the selling price. Well we know that that is 510. So the sales price is 510. Now we've got a couple of like terms here on the left. That first Opie is a 10. P. So 10. P minus 100.150. P. Leaves us with 0.850. P. Or 85% of the original price equals $510. We can divide both sides by 5100.85 to get the original price by itself and that gives us an O. P. Of $600. And so what we do now is we ask ourselves, does this make sense? Does it make sense that the original price was $ when it was bought on sale for $510? And yet make sense? The original price should be higher than the selling the sales price. So we look for our answer choices and this matches answer choice. A well done. We'll catch you on the next one.

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