At a movie theater, the price of 2 adult tickets and 4 child tickets is $48. The price of 5 adult tickets and 2 child tickets is $64. Let x be the cost of an adult ticket and let y be the cost of a child ticket. Write and solve a system of equations to find the ticket price for one adult and for one child.
Answers
Answer:
The ticket price for one adult is $10 and for one child is $7.
Step-by-step explanation:
Let 'x' be the price of an adult ticket and 'y' be the price of a child ticket.
According to the given data,
-----(1)
-----(2)
Multiply eqn (2) by 2
-----(3)
Substract eqn (3) from eqn (1)
We get,
Put the value of x in eqn (1)
We get,
Therefore, the ticket price for one adult is $10 and for one child is $7.
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Answer:
The price of 5 adult tickets and 2 child tickets is 5 x 18 + 2 x 12 = $60.
Step-by-step explanation:
From the above question,
They have given :
At a movie theater, the price of 2 adult tickets and 4 child tickets is $48. The price of 5 adult tickets and 2 child tickets is $64. Let x be the cost of an adult ticket and let y be the cost of a child ticket. Write and solve a system of equations to find the ticket price for one adult and for one child.
The price of 5 adult tickets and 2 child tickets is $60.
To find this, we can set up the following equation:
2A + 4C = 48
where A is the price of an adult ticket and C is the price of a child ticket.
Since we know,
4C = 48
We can divide both sides by 4 to find C = 12.
Then, we can substitute 12 for C in the original equation,
To find,
2A = 36.
Finally, divide both sides by 2 to find A = 18.
Therefore, the price of an adult ticket is $18 and the price of a child ticket is $12.
Thus, the price of 5 adult tickets and 2 child tickets is,
5 x 18 + 2 x 12 = $60.
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