100 children tickets and 200 adult tickets were sold.
Step-by-step explanation:
Given,
Cost of one student ticket = $4
Cost of one adult ticket = $6
Total sales = $1600
Number of tickets sold = 300
Let,
x represent the number of children tickets sold.
y represent the number of adult tickets sold.
According to given statement;
x+y=300 Eqn 1
4x+6y=1600 Eqn 2
Multiplying Eqn 1 by 4
[tex]4(x+y=300)\\4x+4y=1200\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 3 from Eqn 2
[tex](4x+6y)-(4x+4y)=1600-1200\\4x+6y-4x-4y=400\\2y=400[/tex]
Dividing both sides by 2
[tex]\frac{2y}{2}=\frac{400}{2}\\y=200[/tex]
Putting y=200 in Eqn 1
[tex]x+200=300\\x=300-200\\x=100[/tex]
100 children tickets and 200 adult tickets were sold.
Keywords: linear equation, elimination method
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