Bill and Mary Ann went to the Viola bakery. Bill bought 3 danishes and 6 filled donuts for ​$11.64 Mary Ann bought 4 of each for ​$9.52 What is the price of each type of​ pastry?

Answer 1

Could also multiply 1st equation by -4, 2nd equation by 3.

-12d - 24f = -46.56

12d + 12f = 28.56

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When you add, the "d" terms will cancel out, leaving the "f" factor to solve, etc.

Answer 2

3d + 6f = 11.64

4d + 4f = 9.52

3d + 6f = 11.64

d + f = 2.38, divide both sides of bottom equation by 4

3d + 6f = 11.64

d = 2.38 - f, subtract f from both sides of bottom equation

Can you substitute for d in upper equation, solve, and answer?