SOLUTION: during the intermission of a play, the theater club sold cups of popcorn and soda. The club sold 79 cups of popcorn and 96 cups of soda for a total of $271. What was the sellingpri

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: during the intermission of a play, the theater club sold cups of popcorn and soda. The club sold 79 cups of popcorn and 96 cups of soda for a total of $271. What was the sellingpri      Log On


   

Question 518002: during the intermission of a play, the theater club sold cups of popcorn and soda. The club sold 79 cups of popcorn and 96 cups of soda for a total of $271. What was the sellingprice of a cup of popcorn? Of a soda?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = price of a cup of popcorn
Let b = price of a cup of soda
given:
+79a+%2B+96b+=+271+
It looks like there are 2 unknowns
and only 1 equation. I will have to
make guesses
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I'll say
+a+=+1+
+b+=+1+
+79+%2B+96+=+175+
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+a+=+1+
+b+=+2+
+79+%2B+96%2A2+
+79+%2B+192+=+271+
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That's it $1 for a cup of popcorn
and $2 for a cup of soda