Celsius and Fahrenheit Word Problems _ Fast and Easy Explanation

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Language: en

00:00:00.030
and now again everyone in this video
00:00:02.450 00:00:02.460 tutorial we will be working out these
00:00:05.599 00:00:05.609 three given problems that involve degree
00:00:09.320 00:00:09.330 Celsius and degrees Fahrenheit and we
00:00:13.669 00:00:13.679 normally use these two formulas to
00:00:17.720 00:00:17.730 convert from six Celsius to Fahrenheit
00:00:20.710 00:00:20.720 and vice versa
00:00:23.590 00:00:23.600 however I will recommend my students to
00:00:27.470 00:00:27.480 use this formula that I just put down
00:00:30.230 00:00:30.240 right up here because this doesn't
00:00:32.990 00:00:33.000 involve any fractions and it is really
00:00:36.139 00:00:36.149 user friendly so let's go ahead and get
00:00:39.770 00:00:39.780 started with a very fast question very
00:00:42.290 00:00:42.300 first problem it says for what
00:00:44.389 00:00:44.399 temperature will degree Celsius be 20
00:00:47.930 00:00:47.940 more than degrees Fahrenheit so let's go
00:00:51.410 00:00:51.420 ahead and convert this word problem into
00:00:54.139 00:00:54.149 algebraic problem over here you just
00:00:57.229 00:00:57.239 simply put down this degree Celsius just
00:01:00.110 00:01:00.120 put down C and wherever you see B is
00:01:03.799 00:01:03.809 always means equal to and you just put
00:01:07.609 00:01:07.619 down 20 right up here and more than is
00:01:12.260 00:01:12.270 same as plus okay and then F is gonna be
00:01:17.840 00:01:17.850 simply this so we got C equals 220 plus
00:01:23.630 00:01:23.640 F and here's the formula that we will be
00:01:27.260 00:01:27.270 using right now so wherever you see C
00:01:30.230 00:01:30.240 I'm gonna replace C by 20 plus F so
00:01:33.710 00:01:33.720 let's go ahead and get started five F
00:01:36.429 00:01:36.439 minus nine times C is 20 plus F equals
00:01:43.190 00:01:43.200 to 160 let's go ahead and distribute so
00:01:49.249 00:01:49.259 that's gonna be five F minus 180 minus
00:01:56.030 00:01:56.040 nine F equal to 160 let's combine these
00:02:02.450 00:02:02.460 FS together so that's gonna give us
00:02:04.819 00:02:04.829 negative 4 F minus one-eighth
00:02:10.039 00:02:10.049 equals to 160 I want you to move this
00:02:15.080 00:02:15.090 negative 180 so I'm gonna add 180 on
00:02:19.770 00:02:19.780 both sides so far so good so this is
00:02:24.300 00:02:24.310 gone over here so negative for F equals
00:02:30.780 00:02:30.790 to 340 on the right hand side divide
00:02:37.800 00:02:37.810 both sides by negative 4 negative 4 so
00:02:42.949 00:02:42.959 Afton's out to be negative 85 degrees so
00:02:50.819 00:02:50.829 far so good and now we know that C was
00:02:54.390 00:02:54.400 this much
00:02:55.319 00:02:55.329 so DC equals 220 plus now we know F is
00:03:01.349 00:03:01.359 negative 85 over here and if you
00:03:06.960 00:03:06.970 simplify this thing so C is gonna be
00:03:10.670 00:03:10.680 simply negative 65 degrees so thus at C
00:03:18.569 00:03:18.579 equal to negative 65 degrees and F at
00:03:22.409 00:03:22.419 negative 85 degrees C is 20 more than F
00:03:27.710 00:03:27.720 in this next problem for what
00:03:31.680 00:03:31.690 temperature will degree Celsius be equal
00:03:34.619 00:03:34.629 to degrees Fahrenheit let's convert it
00:03:36.809 00:03:36.819 into algebraic form so once again as you
00:03:39.719 00:03:39.729 can see this is C be equal to means
00:03:44.780 00:03:44.790 equal and this is f so C turns out to be
00:03:50.460 00:03:50.470 equal to and here's the formula that we
00:03:53.759 00:03:53.769 will be using right up here so wherever
00:03:56.520 00:03:56.530 you see C you replace it by F so this
00:04:00.390 00:04:00.400 simply becomes 5's F minus 9 C is being
00:04:06.869 00:04:06.879 replaced by F so become 9 f equal to 160
00:04:11.960 00:04:11.970 simplify this side this is negative 4 F
00:04:15.509 00:04:15.519 equal to 160 divided by negative 4 so f
00:04:23.190 00:04:23.200 turns out to be negative 40 decrease if
00:04:30.390 00:04:30.400 F is negative 40 degrees and we know C
00:04:33.510 00:04:33.520 equals 2f because they are same so C is
00:04:37.170 00:04:37.180 gonna be a negative 40 degrees as well
00:04:42.180 00:04:42.190 so that's at negative 40 degrees degree
00:04:45.900 00:04:45.910 Celsius equal to degrees Fahrenheit and
00:04:50.190 00:04:50.200 finally in this problem over here for
00:04:53.610 00:04:53.620 what temperature will degree Celsius be
00:04:56.760 00:04:56.770 twice the degrees Fahrenheit once again
00:04:59.760 00:04:59.770 we're going to convert into algebraic
00:05:01.500 00:05:01.510 form so just put down C right up here so
00:05:05.550 00:05:05.560 wherever you see B means equal to twice
00:05:09.330 00:05:09.340 the degrees Fahrenheit means two times F
00:05:13.970 00:05:13.980 and here's the formula that we'll be
00:05:16.890 00:05:16.900 using
00:05:17.640 00:05:17.650 so wherever you see C we're gonna
00:05:20.700 00:05:20.710 replace it by two times F so that's
00:05:23.820 00:05:23.830 gonna simply become five F minus 9 times
00:05:28.590 00:05:28.600 2 F equals to 160 so that's gonna give
00:05:35.730 00:05:35.740 you five F minus 18 F equal to 160 so
00:05:43.920 00:05:43.930 that's gonna give you negative 13 F
00:05:47.000 00:05:47.010 equals to 160 I want you to divide both
00:05:51.150 00:05:51.160 sides by negative 13 so F turns out to
00:05:57.330 00:05:57.340 be approximately equal to negative
00:06:03.200 00:06:03.210 twelve point three one degrees and if F
00:06:12.120 00:06:12.130 is this much go ahead and put this F
00:06:16.470 00:06:16.480 value in this equation so C equals 2 2
00:06:20.760 00:06:20.770 times negative twelve point three one so
00:06:28.590 00:06:28.600 C will be approximately equal to
00:06:32.270 00:06:32.280 negative 24
00:06:36.829 00:06:36.839 six two degrees thus at sea
00:06:43.819 00:06:43.829 approximately equal to negative 24 point
00:06:46.469 00:06:46.479 six two degrees and F approximately
00:06:49.739 00:06:49.749 equal to negative twelve point three one
00:06:51.959 00:06:51.969 degrees degree Celsius is twice the
00:06:55.859 00:06:55.869 degrees Fahrenheit thanks for watching
00:06:58.439 00:06:58.449 and please subscribe to my channel for
00:07:01.109 00:07:01.119 more exciting videos
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