The possible number of person is 5.
Linear equation: an equation in which there is only one variable present. It is of the form Ax + B = 0, where A and B are any two real numbers and x is an unknown variable that has only one solution
Let,
The total amount of coffee= c
The total amount of milk = m
Total number of person = p
according to the question, c and m can't be .
Given,
Total amount of milk and coffee is 8 oz.
so,
[tex]\frac{c}{4} +\frac{m}{6} =8\\[/tex]
[tex]\frac{3c+2m}{12} =8[/tex]
So, this is linear equation.
3c+2m=8×12
[tex]$ \\$3 \mathrm{c}+2 \mathrm{~m}=96$[/tex]
and
[tex]\eq[/tex][tex]c+m=8p[/tex]
2(c+m) = 8p×2
[tex]2c+2m=24p[/tex] ...(2)
By equation 1 and 2
[tex]3c+2m=96\\ 2m=96-3c\\ 2c+2m=16p\\ 2c+96-3c=16p\\96-c=16p\\96=16p+c\\[/tex]
16p and 96 both are divisible by 16
So, let c =16k
Now 3c+2m =96
3(16k) +2m= 96
48k =2m= 96
k can't be 0, otherwise c is 0 and k cannot be 2, otherwise m is 0. Therefore k must be 1,
[tex]48+2m=96\\2m=96-48\\2m=48\\m=\frac{48}{2} \\m=24[/tex]
BY putting m=24 in equation (1)
[tex]3c+2m=96\\3c+2(24)=96\\3c+48=96\\3c=96-48\\3c=48\\c=\frac{48}{3} \\c=16[/tex]
Therefor, the number of person is 5
More information: brainly.in/question/25201905
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