Question 1192487: There are 62 major sources of pollen in state A. These pollen sources are categorized as grasses, weeds, and trees. If the number of weeds is 5 less than the number of grasses, and the number of trees is 2 more than the number of grasses, find the number of grasses, weeds, and trees that are major pollen sources.
Answer by ikleyn(52835)   (Show Source):
You can put this solution on YOUR website! .
There are 62 major sources of pollen in state A.
These pollen sources are categorized as grasses, weeds, and trees.
If the number of weeds is 5 less than the number of grasses,
and the number of trees is 2 more than the number of grasses,
find the number of grasses, weeds, and trees that are major pollen sources.
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Grasses + weeds + trees = 62 sources. (1)
Grasses = x
Weeds = x-5
Trees = x+2
Equation for the total sources
x + (x-5) + (x+2) = 62
Simplify and find x
x + x - 5 + x + 2 = 62
3x = 62 + 5 - 2
3x = 65
x = 65/3 = 21  .
But x must be an integer numbers.
Since the problems produces non-integer answer, it has no solution/solutions in integer numbers.
ANSWER. The problem has no solution/solutions in integer numbers.
Hence, the problem is DEFECTIVE.
In other words, it is a FAKE.
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Comment from student : The number of grasses in state A = 13 The number of weeds in state A =21 The number of trees in state A =28
My response : The numbers in your comment DO NOT correspond to the problem's formulation.
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