50 adult tickets and 20 children tickets were sold for the concert.
Step-by-step explanation:
Given,
Number of concert tickets sold = 70
Revenue generated = $550
Cost of each adult ticket = $9
Cost of each child ticket = $5
Let,
x be the number of adult tickets sold
y be the number of child tickets sold
According to given statement;
x+y=70 Eqn 1
9x+5y=550 Eqn 2
Multiplying Eqn 1 by 5
[tex]5(x+y=70)\\5x+5y=350\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 3 from Eqn 2
[tex](9x+5y)-(5x+5y)=550-350\\9x+5y-5x-5y=200\\4x=200[/tex]
Dividing both sides by 4
[tex]\frac{4x}{4}=\frac{200}{4}\\x=50[/tex]
Putting x=50 in Eqn 1
[tex]50+y=70\\y=70-50\\y=20[/tex]
50 adult tickets and 20 children tickets were sold for the concert.
Keywords: linear equation, elimination method
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