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RamV648
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Cross-Pollination (Quant)

by RamV648 Sun Dec 21, 2014 12:01 am

Hi,
I had a quick question on the explanation given below!

Question:
A farmer has an apple orchard consisting of Fuji and Gala apple trees. Due to high winds this year 10% of his trees cross pollinated, creating trees that are part Fuji and part Gala. The number of his trees that are pure Fuji plus the number that are part Fuji and part Gala totals 187, while 3/4 of all his trees are pure Fuji. How many of his trees are pure Gala?

Solution:
This problem can be solved using a set of four equations with four unknowns. The fourth variable will represent the total number of apple trees. We'll add two equations together to solve for the number of Gala apples relatively simply:

Solution:

Let F = the number of Fuji trees
Let C = the number of cross pollinated trees
Let G = the number of Gala trees
Let T = the total number of trees

Equation (1): By definition, F + C + G = T

Equation (2): The pure Fuji trees plus the cross pollinated trees total 187, so F + C = 187

Equation (3): 75% of his trees are Fuji, so F = 0.75T
Equation (4): 10% of his trees cross pollinated, so C = 0.1T


My Query:

I wonder how Equation (4) is valid .Shouldn't it instead be C= 0.1 (F+G) ?
Please note 10% of Fuji and Gala trees pollinated to create the hybrid.

Thanks
Ram
astonh156
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Re: Cross-Pollination (Quant)

by astonh156 Sat Jul 04, 2020 1:08 pm

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