SOLUTION: 3adults 1 child go cinema =£30 1adult 4childs go and it = £22 how much is an adult ticket and a child ticket

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Question 939132: 3adults 1 child go cinema =£30 1adult 4childs go and it = £22 how much is an adult ticket and a child ticket
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
I am not sure that you copied the numbers in the problem over correctly because the answer comes out to odd prices but these are the steps that I used.

Let A = price of an adult.
Let C = price of a child.
Equation 1: 3A+%2B+C+=+30
Equation 2: A+%2B+4C+=+22
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Lets start by solving equation 1 for one of the variables. I picked C.
Equation 1: 3A+%2B+C+=+30
C+=+30+-+3A
Now plug (30-3A) into equation 2 for C
Equation 2: A+%2B+4C+=+22
A+%2B+4%2A%2830+-+3A%29+=+22
Multiply the 4 through.
A+%2B+120+-+12A+=+22
Combine like terms.
120+-+11A+=+22
Subtract 120 from both sides.
-11A+=+-98
Divide both sides by -11.
Notice that the negative signs cancel each other out.
highlight%28A+=+8.91%29 (Note that I rounded this number)}}}
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Using A = 8.91, solve for C
C+=+30+-+3A
C+=+30+-+3%2A%288.91%29
C+=+30+-+26.73%29
highlight_green%28C+=+3.27%29