There is 1000 ice creams are there for a function and 1000 people. Each men will get 4 ice creams, each women will get 3 ice creams, and each kid will get 1/2 ice cream. Then how many mens, womens and kids are there in the function?
Answers
Let number of men and women be x and y respectively.
Then the number of children be 1000 - (x + y).
For the total quantity of 1000 ice creams, we get
4x + 3y + {1000 - (x + y)}/2 = 1000
or, 8x + 6y + 1000 - x - y = 2000
or, 7x + 5y = 1000
or, 5y = 1000 - 7x
or, y = (1000 - 7x)/5
We have one equation with two unknown variables. We cannot solve it in a direct method. So we consider some values of x such that y be an integral value.
Let us find some values:
x y
5 153
10 130
... ...
100 60
... ...
140 4
Answer:
Men Women Children
5 153 842
10 130 860
... ... ...
100 60 840
... ... ...
140 4 856
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