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Hey guys Mr. Ziegler here we're looking at lesson 7-7 sales tax and discount in this lesson we'll be finding the total cost with tax we'll be finding the sales price after a discount and then if we know the sales price and the percent we say we have to backtrack that and find the original price that's going to be a little tougher make sure you're watching carefully on example 3 so here we are our main idea clearly we're solving problems with sales tax and discount all right getting started so a set of three paperback books sells for $35 and the sales tax is 7% what is the total cost of the set that's important to understand what we're supposed to find, so we're not just finding the text we're finding the total cost are there are two ways to go about this I'll lay both of those out before you, so you can take your pick of which one you like better all right the first one is just to take the price and multiply it by that 7% then what we're going to do is add that tax to the original price to figure out the total cost of the set here's what I mean let me bring up a calculator, so we take the 35 dollars we multiply it by the 7% that's our tax, and we get 2 dollars and 45 cents 2.45 2.45 cents now notice that's actually the choice right here but turns out that's not our answer because again we're not just supposed to find out the tax we were supposed to find out the total cost of the set so to finish this up we need to add that tax to the original price come back to the calculator we'll even though we could do this in our head we'll add that extra 35 dollars and there we go 37 dollars and 45 cents, so there's our true answer, but now I did say I would show you a second way to do this let's get the calculator out of the way and here's the second method change colors here you take the same $35 but now this time instead of just multiplying it by 7% we're going to add that percent to the whole 35 now let's see percent wise 100% of 35 is 35 so really what I'm going to do is multiply 35 by all of 35 which is a hundred percent plus the tax on it, so the tax is seven percent plus the hundred percent of the 35 which is a total of 107 percent, so now I'm going to multiply that 35 times one hundred seven percent, and now you watch this we're going to get the answer in one step so 35 times 107 percent now to make 107 percent a decimal that would be one point zero seven and there's that final price in one step, so there's a second option as far as how to solve a problem involving sales tax either multiply it by the percent then add it to the original price or instead of adding the text to the price first add the 100% the full price of the item to the 7% and then multiply that by the original price getting your final answer in one step instead of two okay here we go Alex wants to buy a DVD player that has a regular price of $175 this weekend the DVD player is on sale at a 20% discount what's the sale price of the DVD player all right let's just show you this using...
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