Question

John and Matt are going to eat at the same restaurant and they are paying separately. Matt ordered 2 burgers and 1 side item, his total was $14.75. John ordered 3 burgers and 2 side items, his total was $24.00.

Write and solve a System of Equations to determine the price of 1 side item.

Answer 1

s = 3.75

Explanation:

Let b = price of a burger

Let s = price of a side item

2b+s = 14.75

3b+2s = 24

Multiply the first equation by -2

-4b-2s =-29.50

Add to the second equation to eliminate s

-4b-2s =-29.50

3b+2s = 24

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-b = -5.50

Multiply by -1

b = 5.50

Now find s

2b+s = 14.75

2*5.50 +s =14.75

11 + s = 14.75

Subtract 11 from each side

s = 14.75 -11

s = 3.75