00:01
This problem says jonah has a recipe that uses one and one -half cups of brown sugar and two and one -third cups of flowers to make, cups of flour, to make 24 muffins.
00:09
He has a total of seven cups of flour.
00:12
Jonah wants to use all of his flour to make as many muffins as possible using this recipe.
00:17
And part b's question that we're trying to answer is exactly how many muffins will jonah make if he uses all seven cups of flour.
00:24
So the assumption we're going to make here is that forever many muffins we could make with seven cups.
00:30
Of flour, we also have the amount of brown sugar we would need as well.
00:35
So if we make that assumption that we have all the brown sugar we need to make these muffins with the seven cups of flour total that we have, what we need to look at is what we get when we multiply two and one third by some scale factor x to give us seven cups of flour.
00:52
Because whatever that scale factor is, we can apply it to 24 as well to figure out how many muffins seven cups of flour would make as opposed to two and one -third cups of flour.
01:01
So to begin this, i'm going to change two and one -third to be a mixed fraction instead of impover fraction.
01:07
So three times two gives us six, six plus one gives us seven.
01:11
So seven -thirds cups of flour is the same thing as two and one -thirds.
01:15
And again, the seven -thirds is being multiplied by some value x to give us seven cups of flour...