48 adult tickets and 24 children tickets were sold.
Step-by-step explanation:
Given,
Cost of one adult ticket = $8
Cost of one child ticket = $3
Total worth of sold tickets = $456
Let,
Number of adult tickets sold = x
Number of child ticket sold = y
According to given statement;
8x+3y=456 Eqn 1
x = 2y Eqn 2
Putting value of x from Eqn 1 in Eqn 2
[tex]8(2y)+3y=456\\16y+3y=456\\19y=456[/tex]
Dividing both sides by 19
[tex]\frac{19y}{19}=\frac{456}{19}\\y=24[/tex]
Putting y=24 in Eqn 2
[tex]x=2(24)\\x=48[/tex]
48 adult tickets and 24 children tickets were sold.
Keywords: linear equation, substitution method
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