00:00The numbers A, B, and C are inversely proportional to the numbers 2, 3, and 4, respectively.
00:03A plus B equals C = 40.
00:05My friends are asking us to find the sum of A plus B plus C.
00:08So, what's the story now, guys?
00:08Our numbers A, B, and C are inversely proportional to 2, 3, and 4, respectively.
00:16That is also equal to our proportionality constant K.
00:18In inverse proportion, we write it like this, right guys?
00:21In this case, if we divide both sides of our A by 2, we get K divided by 2.
00:25If we divide both sides of our B by 3, we get K divided by 3.
00:28If we divide both sides by 4, we get C as K divided by 4 in our equation.
00:35In this case, plus B, which is K divided by 2 plus K divided by 3 minus C, equals K divided by 4, which equals 42.
00:45Let's equalize the denominators right away, guys.
00:47What was it? It equalizes at 12.
00:486, 4, 3.
00:50So what happened here, guys?
00:516 times K plus 4 times K minus 3 times K divided by 12 equals 42.
00:59So what happened in this situation, guys?
01:006 minus 4 equals 10, subtracting 3 gives 7K.
01:03If 12 divided by 42 equals 42, we divide both sides by 7.
01:07How?
01:08Since it's a multiplication and a division case, I can simplify with the opposite.
01:121, 6.
01:13I'll perform cross-multiplication.
01:15We find our K to be 72 from this.
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