popcorn and soda cost $11.00 together, the popcorn cost $10 more than the soda. how much the soda cost

Question

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Answer 1

This can be turned into a two-equations-in-two-unknown algebraic problem. If X=price of popcorn, and Y=price of soda, then the two equations are:

X+Y=11 (1)
X-Y=10 (2)

One way to solve this is to add the two equations together. This yields

2X=21

Solving for X gives

X = 10.5

and putting that value into either of the two original equations yields

Y = 0.5

So, the answer is that the price of the soda is $0.50.

Answer 2

Let x = the cost of the soda

Let x + 10 = the cost of the popcorn

x + x + 10 = 11

2x = 1

x = $.50 - soda

x + 10 = .50 + 10 = $10.50 - popcorn