Bill and Mary Ann went to the Viola bakery. Bill bought 3 danishes and 8 filled donuts for ​$13.36 Mary Ann bought 4 of each for ​$8.48 What is the price of each type of​ pastry?

Answer 1

Let x = the price of danishes and y = the price of the donuts.

3x+8y=13.36

4x+4y= 8.48

Subtracting 2 times the second equation from the first equation gives:

-5x + 0y = -3.60

x = -3.60/-5 = $0.72

Substituting for x in the first equation

2.16 + 8y =13.36

8y = 11.20

y = 11.20/8 = $1.40