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Celsius and Fahrenheit Word Problems _ Fast and Easy Explanation
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00:00:00.030 and now again everyone in this video 00:00:02.45000:00:02.460 tutorial we will be working out these 00:00:05.59900:00:05.609 three given problems that involve degree 00:00:09.32000:00:09.330 Celsius and degrees Fahrenheit and we 00:00:13.66900:00:13.679 normally use these two formulas to 00:00:17.72000:00:17.730 convert from six Celsius to Fahrenheit 00:00:20.71000:00:20.720 and vice versa 00:00:23.59000:00:23.600 however I will recommend my students to 00:00:27.47000:00:27.480 use this formula that I just put down 00:00:30.23000:00:30.240 right up here because this doesn't 00:00:32.99000:00:33.000 involve any fractions and it is really 00:00:36.13900:00:36.149 user friendly so let's go ahead and get 00:00:39.77000:00:39.780 started with a very fast question very 00:00:42.29000:00:42.300 first problem it says for what 00:00:44.38900:00:44.399 temperature will degree Celsius be 20 00:00:47.93000:00:47.940 more than degrees Fahrenheit so let's go 00:00:51.41000:00:51.420 ahead and convert this word problem into 00:00:54.13900:00:54.149 algebraic problem over here you just 00:00:57.22900:00:57.239 simply put down this degree Celsius just 00:01:00.11000:01:00.120 put down C and wherever you see B is 00:01:03.79900:01:03.809 always means equal to and you just put 00:01:07.60900:01:07.619 down 20 right up here and more than is 00:01:12.26000:01:12.270 same as plus okay and then F is gonna be 00:01:17.84000:01:17.850 simply this so we got C equals 220 plus 00:01:23.63000:01:23.640 F and here's the formula that we will be 00:01:27.26000:01:27.270 using right now so wherever you see C 00:01:30.23000:01:30.240 I'm gonna replace C by 20 plus F so 00:01:33.71000:01:33.720 let's go ahead and get started five F 00:01:36.42900:01:36.439 minus nine times C is 20 plus F equals 00:01:43.19000:01:43.200 to 160 let's go ahead and distribute so 00:01:49.24900:01:49.259 that's gonna be five F minus 180 minus 00:01:56.03000:01:56.040 nine F equal to 160 let's combine these 00:02:02.45000:02:02.460 FS together so that's gonna give us 00:02:04.81900:02:04.829 negative 4 F minus one-eighth 00:02:10.03900:02:10.049 equals to 160 I want you to move this 00:02:15.08000:02:15.090 negative 180 so I'm gonna add 180 on 00:02:19.77000:02:19.780 both sides so far so good so this is 00:02:24.30000:02:24.310 gone over here so negative for F equals 00:02:30.78000:02:30.790 to 340 on the right hand side divide 00:02:37.80000:02:37.810 both sides by negative 4 negative 4 so 00:02:42.94900:02:42.959 Afton's out to be negative 85 degrees so 00:02:50.81900:02:50.829 far so good and now we know that C was 00:02:54.39000:02:54.400 this much 00:02:55.31900:02:55.329 so DC equals 220 plus now we know F is 00:03:01.34900:03:01.359 negative 85 over here and if you 00:03:06.96000:03:06.970 simplify this thing so C is gonna be 00:03:10.67000:03:10.680 simply negative 65 degrees so thus at C 00:03:18.56900:03:18.579 equal to negative 65 degrees and F at 00:03:22.40900:03:22.419 negative 85 degrees C is 20 more than F 00:03:27.71000:03:27.720 in this next problem for what 00:03:31.68000:03:31.690 temperature will degree Celsius be equal 00:03:34.61900:03:34.629 to degrees Fahrenheit let's convert it 00:03:36.80900:03:36.819 into algebraic form so once again as you 00:03:39.71900:03:39.729 can see this is C be equal to means 00:03:44.78000:03:44.790 equal and this is f so C turns out to be 00:03:50.46000:03:50.470 equal to and here's the formula that we 00:03:53.75900:03:53.769 will be using right up here so wherever 00:03:56.52000:03:56.530 you see C you replace it by F so this 00:04:00.39000:04:00.400 simply becomes 5's F minus 9 C is being 00:04:06.86900:04:06.879 replaced by F so become 9 f equal to 160 00:04:11.96000:04:11.970 simplify this side this is negative 4 F 00:04:15.50900:04:15.519 equal to 160 divided by negative 4 so f 00:04:23.19000:04:23.200 turns out to be negative 40 decrease if 00:04:30.39000:04:30.400 F is negative 40 degrees and we know C 00:04:33.51000:04:33.520 equals 2f because they are same so C is 00:04:37.17000:04:37.180 gonna be a negative 40 degrees as well 00:04:42.18000:04:42.190 so that's at negative 40 degrees degree 00:04:45.90000:04:45.910 Celsius equal to degrees Fahrenheit and 00:04:50.19000:04:50.200 finally in this problem over here for 00:04:53.61000:04:53.620 what temperature will degree Celsius be 00:04:56.76000:04:56.770 twice the degrees Fahrenheit once again 00:04:59.76000:04:59.770 we're going to convert into algebraic 00:05:01.50000:05:01.510 form so just put down C right up here so 00:05:05.55000:05:05.560 wherever you see B means equal to twice 00:05:09.33000:05:09.340 the degrees Fahrenheit means two times F 00:05:13.97000:05:13.980 and here's the formula that we'll be 00:05:16.89000:05:16.900 using 00:05:17.64000:05:17.650 so wherever you see C we're gonna 00:05:20.70000:05:20.710 replace it by two times F so that's 00:05:23.82000:05:23.830 gonna simply become five F minus 9 times 00:05:28.59000:05:28.600 2 F equals to 160 so that's gonna give 00:05:35.73000:05:35.740 you five F minus 18 F equal to 160 so 00:05:43.92000:05:43.930 that's gonna give you negative 13 F 00:05:47.00000:05:47.010 equals to 160 I want you to divide both 00:05:51.15000:05:51.160 sides by negative 13 so F turns out to 00:05:57.33000:05:57.340 be approximately equal to negative 00:06:03.20000:06:03.210 twelve point three one degrees and if F 00:06:12.12000:06:12.130 is this much go ahead and put this F 00:06:16.47000:06:16.480 value in this equation so C equals 2 2 00:06:20.76000:06:20.770 times negative twelve point three one so 00:06:28.59000:06:28.600 C will be approximately equal to 00:06:32.27000:06:32.280 negative 24 00:06:36.82900:06:36.839 six two degrees thus at sea 00:06:43.81900:06:43.829 approximately equal to negative 24 point 00:06:46.46900:06:46.479 six two degrees and F approximately 00:06:49.73900:06:49.749 equal to negative twelve point three one 00:06:51.95900:06:51.969 degrees degree Celsius is twice the 00:06:55.85900:06:55.869 degrees Fahrenheit thanks for watching 00:06:58.43900:06:58.449 and please subscribe to my channel for 00:07:01.10900:07:01.119 more exciting videos
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