The number of adults = 41
The number of children = 97
Step-by-step explanation:
Let x be the number of adults and
y be the number of children
then according to the given conditions
[tex]x+y = 138\ \ \ Eqn\ 1\\11x+4y = 839\ \ \ Eqn\ 2[/tex]
From equation 1:
x = 138-y
Putting in equation 2
[tex]11(138-y)+4y = 839\\1518-11y+4y = 839\\1518 -7y = 839\\-7y = 839-1518\\-7y = -679\\[/tex]
Dividing both sides by -7
[tex]\frac{-7y}{-7} = \frac{-679}{-7}\\y = 97[/tex]
Putting y = 97 in equation 1
[tex]x+ 97 = 138\\x = 138-97\\x = 41[/tex]
Hence,
The number of adults = 41
The number of children = 97
Keywords: Linear equations variables
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