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One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain total of 175.5 milligrams of vitamin C, Two eight-ounce glasses of apple juic...

Question

One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain total of 175.5 milligrams of vitamin C, Two eight-ounce glasses of apple juice and three eight-ounce glasses of orange juice contain total of 432.7 milligrams of vitamin C. How much vitamin C is in an eight-ounce glass of each type of juice? apple juice mg orange juice mg

One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain total of 175.5 milligrams of vitamin C, Two eight-ounce glasses of apple juice and three eight-ounce glasses of orange juice contain total of 432.7 milligrams of vitamin C. How much vitamin C is in an eight-ounce glass of each type of juice? apple juice mg orange juice mg



Answers

One
eight-ounce
glass
of
apple
juice
and one
eight-ounce
glass
of
orange
juice
contain
a
total
of $ 177.4 $ milligrams
of
vitamin
C.
Two
eight-ounce
glasses of
apple
juice
and
three
eight-ounce
glasses
of
orange juice
contain
a
total
of $ 436.7 $ milligrams
of
vitamin
C.How
much
vitamin
C
is
in
an
eight-ounce
glass
of
each type
of
juice?

Were given that one glass of apple juice and one glass of orange juice has 179.2 mg of vitamin C. Two glasses of apple juice and three glasses of orange juice have 442.1 milligrams of vitamin C. We need to figure out how much vitamin C is in one glass of each. So for our first equation we have one X plus one Y. Is equal to 179.2. And then from our second sentence, we have two. X Plus three. Y is equal to 442.1. So we're gonna multiply our top equation by -2. So we get negative two X minus two, Y. Is equal to 1 79.2 times negative two Gives us -358.4. Our exes cancel out we're left with Y is equal to we subtract 442 minus 358.4 And we get 83.7, So that corresponds to why, which is our orange juice? So our orange juice has 83 0.7 fix, it has 83.7 mg of vitamin C. So now we gotta figure out apple juice, so we're going to use our first equation, X plus 83.7 is equal to 1 79.2 179.2 -83.7 Gives us that X is equal to 95.5. So apple juice has 95.5 mg of vitamin C.

Let o equal the amount of vitamin C and milligrams in the orange juice and let P equal the amount of vitamin C in milligrams in the pineapple juice. So the problem tells us that the amount of vitamin C in the orange juice and pineapple juice total to 122 milligrams, so our first equation is OH plus P is equal to 122. The problem also states that the amount of orange juice vitamin C is equal to three less than four times the vitamin C in the pineapple juice, or O equals four p minus three. So we have some nice equations here that we can use to help us solve. For Owen P, it is actually a system of equations to solve for P. We're first going to substitute two into one so that four p minus three plus p is equal to 122 and then doing a little bit of algebra. We've got five. P minus three is equal to 1 22 or five p is equal to 125 solving for P. If we divide both sides by five, we get P is equal to 25 milligrams if we substitute back into one weaken solve for oh so oh plus 25 is equal to 122 subtracting and 25 from both sides. We've got 1 20 to minus 25 on the right hand side or OH is equal to 97 So the pineapple juice has 25 milligrams of vitamin C and orange juice has 97 milligrams of vitamin C.

So the morality ofthis salute in a solution. It's basically the number of malls off the salute. Four most of solid. So far, the volume absolution. No, no. We know the volume of the solution, which is given as our daughter to six point six million litter. But they have to know the most absolute and the solid here is victim is sea, and we're tryingto find the morality of vitamin C. So we have to know the most of the vitamin C. And as you know, that, um, the number off malls is equal to mess over Moller Mus. So here, given the mass of the video and see which is a scar, because it and that is one twenty four milligram. So we have to go. So the formula is basically Graham and more Armas Isn't Grandpa our mole? So we have to convert. The milligram could cram. So wanting to four milligram mints we have come you have to divide his very thousand to get the result in crumb, which is zero point one two four gram. So our mass of their school pick a suit or the video and see here is zero point one two into four gram and we have to calculate the Moler man's of ascorbic acid. So in the formal of the ascorbic acid vitamin C, C six h eight or six and to find the molar Macia simply Arab, the Mormons off all of this, each individual atoms. So the promise of carbon ist opened on. We have six carbon here multiplied by six. Then he added, with the monuments of fight prison which is one point one and we have a ten treason here when multiplied by eight. Then we add oxygen. Mueller messages sixteen and we have six oxygen here multiplied with six, and the total will give us one seventy six point one four from far more. So here is the Here's the number of as the molar mass of the vitamin C or the ascorbic acid. Now we put this fellow here one seventy six point one four cramp our mall and the result from here. Well, give us the number of mall. So vitamin C or ascorbic acid, which is seven point oh, four times genital minus four. Okay, so this is the number of most of us, Coraghessan. Now we just simply put this number of bulls over the volume of solution to get the mullahs team off vitamin C in orange juice. So we put sort of more. Lady is again the number of malls which have calculators seven point or for time's going to depart, minus for mall and put it over the volume and the volume off. The solution is given us two thirty six point six million liter and, um, con vertical Later we have to divide this by one thousand. It will give us who's zero pond toe treem six. Six litre. And he put his volume here. And this will give us the morality of the vitamin C, which is our Super nine seven five turns over minus three. More later are it is them two point nine seven five times ten to the bar, minus three Moller. So this is the This is the morality of freedom in C in the oranges

Okay for Phyllis problem, we're gonna have to represent um how to solve Over 30 days to hundreds. Oranges has 560 mg of potassium. So 560 160 g, multiplied by 30. So let's do have 60 multiply 5 30. So that's 16,816 1008 100 correct. 16,800. So now we need to convert that into grams. So grams, three g. You are going to have to divide the mass. Fight from 1000. So they reduced 60,000 600 Divided by 1000 thousands. You could get back by 1000. We would get 16.8. 16.8. So for everyone that did that in a calculator, easier method would be changing of the decimal places. So 123 zeros. Right? So you can do 12 and three. So 16 0.6 And this is actually eight instead of a six. So 16.8. That's why that came up. My apologies. So 16.8 g Of potassium will be consumed over 30 days if she drinks orange juice every day. And that specific amount


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