WEBVTT 00:00:01.120 --> 00:00:10.960 If the tax rate is seven percent, what will the sales tax be for a truck that costs 16000 dollars? 00:00:11.800 --> 00:00:16.280 Let’s solve this problem by setting up a proportion. 00:00:17.000 --> 00:00:22.720 We’re given these values: seven percent and 16000 dollars. 00:00:23.240 --> 00:00:34.720 But we know that our seven percent can be turned into a fraction out of 100, so seven percent can be represented by a fraction seven out of 100. 00:00:35.400 --> 00:00:43.280 In this setup, the seven represents the amount that is the sales tax; what do you think 100 represents? 00:00:44.120 --> 00:00:51.800 The price of the item in this setup, 100, represents the price of the item before you add the sales tax. 00:00:52.200 --> 00:01:00.000 And we know that our truck costs 16000 dollars before we add the sales tax. 00:01:00.320 --> 00:01:06.640 So we’ll substitute the price of the item with 16000 dollars. 00:01:07.440 --> 00:01:11.520 How would we get from 100 to 1600 ? 00:01:12.120 --> 00:01:17.240 What can we multiply by 100 to get 1600 ? 00:01:17.680 --> 00:01:24.760 160; 100 times 160 equals 16000. 00:01:25.240 --> 00:01:31.360 And when we multiply the denominator by something, we need to multiply the numerator by that same amount. 00:01:31.720 --> 00:01:38.720 So we should multiply seven times 160 to find our sales tax. 00:01:39.240 --> 00:01:44.120 Seven times 160 equals 1120. 00:01:44.680 --> 00:01:49.800 Now we’re gonna look back at our question to see what value they were asking us for. 00:01:50.400 --> 00:01:54.920 They asked, what will the sales tax be for a truck? 00:01:55.600 --> 00:02:02.200 So we know that the sales tax is 1120 dollars. 00:02:02.800 --> 00:02:11.320 If the question had asked us what the total cost of the truck would be, we would have to add the sales tax to the original price of the truck. 00:02:11.880 --> 00:02:18.360 But in this case, we’re only asked to find the sales tax, which we’ve done here.