SOLUTION: Kate has 2 more apples than she needs in order to have one-third of the apples that Renee has. Kate is 8 apples short of having half of the apples that Renee has. How many apples d
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-> SOLUTION: Kate has 2 more apples than she needs in order to have one-third of the apples that Renee has. Kate is 8 apples short of having half of the apples that Renee has. How many apples d
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Question 1036166: Kate has 2 more apples than she needs in order to have one-third of the apples that Renee has. Kate is 8 apples short of having half of the apples that Renee has. How many apples does Kate have? Found 2 solutions by stanbon, Aldorozos:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Kate has 2 more apples than she needs in order to have one-third of the apples that Renee has. Kate is 8 apples short of having half of the apples that Renee has. How many apples does Kate have?
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Equations:
k-2 = (1/3)r
k+8 = (1/2)r
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r = 3k-6
r = 2k+16
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3k-6 = 2k+16
k = 22 apples (# Kate has)
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Cheers,
Stan H.
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You can put this solution on YOUR website! k-2 = 1/3 R
k+8 = 1/2/R
Let's subtract the first equation from the second
k-k + 8-(-2) = 1/2 R - 1/3 r
60 = 1/6 R therefore R = 60 = number of apples Renee has
k+8 = 1/2 60 Therefore K =22
You may check the answer by subtracting 2 from 22 to see if it is 1/3 of 60
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