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maw [93]
4 years ago
5

in local theaters showing an animated movie they charge $5 per ticket for a child and $12 per ticket for an adult they sell a to

tal of 342 tickets and make a total of $2,550 we want to try to find out how many of each type of ticket they so let C represent the number of children tickets sold and A represent the number of adult tickets to write an equation that represents the fact that 342 tickets were sold also write an equation representing the fact that they made it to a total of 2550 also solve the system you created in A & B by the method of elimination
Mathematics
2 answers:
sergejj [24]4 years ago
6 0

Answer: C=222 and A =120

Step-by-step explanation:

Let C be the number of children tickets and A be the number of adult tickets.

Then, According to the question, we have the following system:-

C+A=342........................(1)\\5C+12A=2550........................(2)

Multiply equation (1) by 5 on both sides ,we get

5C+5A=1710..........(3)

Eliminate equation (3) from equation (2), we get

7A=840\\\Rightarrow\ A=120

Substitute the value of A in (1), we get

C+120=342\\\Rightarrow\ C=222

Hence, the number of children tickets sold = 222 and the number of adult tickets sold =120

Evgesh-ka [11]4 years ago
4 0
C+A=342
$5C+$12A=$2,550

5C+5A=1710
5C+12A=2550
-7C=-840
C=120

5(120)+12A=2550
600+12A=2550
12A=1950
A=163
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