66 adult tickets were sold that day.
Step-by-step explanation:
Cost of one child admission =$5.90
Cost of one adult admission = $9.30
Total tickets sold = 163
Total revenue generated = $1186.10
Let,
x be the number of children tickets sold
y be the number of adult tickets sold
According to given statement;
x+y=163 Eqn 1
5.90x+9.30y=1186.10 Eqn 2
Multiplying Eqn 1 by 5.90
[tex]5.90(x+y=163)\\5.90x+5.90y=961.70\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 3 from Eqn 2
[tex](5.90x+9.30y)-(5.90x+5.90y)=1186.10-961.70\\5.90x+9.30y-5.90x-5.90y=224.40\\3.40y=224.40[/tex]
Dividing both sides by 3.40
[tex]\frac{3.40y}{3.40}=\frac{224.40}{3.40}\\y=66[/tex]
66 adult tickets were sold that day.
Keywords: linear equations, subtraction
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