Micheal took his brother to the movies. Micheal paid regular price, but it cost $2 less for his brother at the child price. It cost Micheal $12 total for the movie. How much did it cost for his brother?

Respuesta :

It cost $5 for his brother's ticket.

Step-by-step explanation:

Let,

Micheal's ticket price= x

His brother ticket price = y

According to given statement;

x+y=12    Eqn 1

y = x-2    Eqn 2

Putting value of y from Eqn 2 in Eqn 1

[tex]x+(x-2)=12\\x+x-2=12\\2x=12+2\\2x=14\\[/tex]

Dividing both sides by 2;

[tex]\frac{2x}{2}=\frac{14}{2}\\x=7[/tex]

Putting x=7 in Eqn 2

[tex]y=7-2\\y=5[/tex]

It cost $5 for his brother's ticket.

Keywords: linear equation, substitution method

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