SOLUTION: A tour group split into two groups when waiting in line for food at a fast food counter. The first group bought 8 slices of pizza and 7 soft drinks for $34.49. The second group bou

Question 1136389: A tour group split into two groups when waiting in line for food at a fast food counter. The first group bought 8 slices of pizza and 7 soft drinks for $34.49. The second group bought 5 slices of pizza and 5 soft drinks for $22.40. How much does one slice of pizza cost?

Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.

Since  5 slices of pizza and 5 soft drinks cost $22.40, it implies that 

       1 slice  of pizza and 1 soft drink  cost $22.40/5 = $4.48.



Now you can easily answer the problem's question by subtracting 7 times $4.48 from $34.49. It gives you


        one slice of pizza costs $34.49 - 7* $4.48 = $3.13.    ANSWER

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Notice that I answered the question without solving equations.

This problem was designed and is expected to be solved exactly in this way - it is a "good style" of solving such problems.

It is the major lesson for you to learn from my solution.

To see other similar problems, solved in similar way, look into the lesson
- Solving mentally word problems on two equations in two unknowns
in this site.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic "Systems of two linear equations in two unknowns".

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.

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