The cost of one adult ticket is $12 and cost of one child ticket is $8.
Step-by-step explanation:
Let,
Cost of one adult ticket = x
Cost of one child ticket = y
According to given statement;
x+4y=44 Eqn 1
5x+2y=76 Eqn 2
Multiplying Eqn 1 by 5
[tex]5(x+4y=44)\\5x+20y=220\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 2 from Eqn 3
[tex](5x+20y)-(5x+2y)=220-76\\5x+20y-5x-2y=144\\18y=144[/tex]
Dividing both sides by 18
[tex]\frac{18y}{18}=\frac{144}{18}\\y=8[/tex]
Putting y=8 in Eqn 1
[tex]x+4(8)=44\\x+32=44\\x=44-32\\x=12[/tex]
The cost of one adult ticket is $12 and cost of one child ticket is $8.
Keywords: linear equation, elimination method
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