Please help with this math problem: Two soft drinks and an order of french fries cost $5.00, at a football game. . . . . . . . . . . . . . . . . Sam ordered a soft drink and an order of fries for himself and the same for Sally. If Sam paid $7.00, what is the price of a soft drink?

Expert Answers

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The answer here is that a soft drink costs $1.50 and fries cost $2.  Here is how you can get that answer:

Let's let S be soda and F be fries.

We know that 2S + F = 5 because of your first statement.  Because of your second statement, we know that 2S + 2F = 7.

So now we can substitute.  In the first equation, let's find for F.  F = 5 - 2S.

Now we can plug that into the second equation and we now have

2S + 2 (5 - 2S) = 7

2S + 10 - 4S = 7

-2S = -3

S = 1.5

Now we plug this value for S back into one of the equations.

3 + F = 5

F = 2

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