After a 30% price reduction, you purchase a 50″ 4K UHD TV for $24...

Question

After a 30% price reduction, you purchase a 50″ 4K UHD TV for $245. What was the television's price before the reduction?

Accepted Answer

Welcome back. I'm so glad you're here. Alright, somebody's throwing a party and okay, well 40% of students arrived at the party. That is a huge party. Okay. We also know that the number of absent students is 240. We're supposed to figure out the total number of students in the whole school. So we want to know the total number of students. Let's set X to the total number of students. That's what we're looking for. And what do we know in relation to X with that? 40% and the 240. Okay, well 40% arrived, So .4, 40% 40% of X or .4 X were in attendance were at the party, that means that the rest weren't there. So what's the rest? Well, that's the total number minus the amount that were at the party. So we've got one X minus 10.4 X. Well that's 0.6 X. Is how many were absent, but we're also told that the absent number of students is equal to 240. So the part that we can really get out of there, that helps us solve this math problem is this .6 acts or 60% of the students is equal to 240. Now we can solve for X. We'll divide both sides by .6 and on the left, that will just give us X and on the right, that's going to give us 400. So 400 is the total number of students. We look at our answer choices and that matches with answer choice a well done, we'll catch you on the next one.

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After a 30% price reduction, you purchase a 50″ 4K UHD TV for $245. What was the television's price before the reduction?