00:01
This problem tells us there are 64 pieces of candy in a bag, and ryan took three sevenths of what rose took, and together they took 15 -16th of the pieces.
00:09
If jordan took one -sixth of what ryan took, how many pieces did jordan take? so before we worry about figuring out what jordan took, we need to figure out what ryan and rose both took respectively.
00:19
And we know that together they took 15 -16s of the pieces, and there are 64 pieces total.
00:24
So first, let's figure out what they took together by multiplying 15 -16th times 64.
00:30
And that gives us 60 pieces.
00:32
So between ryan and rose, they took 60 pieces, and we're told that ryan took 3 -7s of what rose took.
00:39
So we're going to say that the amount that rose took is x, and that ryan should be equivalent to 3 -7th of that, or 3 -7s times x.
00:47
And we know between the two of them, they took the 60.
00:51
So however much rose took x, plus however much ryan took 3 -7s -x, should be equal to the 60.
00:58
And once we solve this, we'll know what ryan took and then we can worry about jordan.
01:02
So when we're adding our like terms here, this is an understood one in front of x, which is the same thing as 7 -7s to have a common denominator.
01:10
So 7 -7s -x plus 3 -7s -x gives us 10 -7sx equal to the 60...