Bill and Mary Ann went to the Viola bakery. Bill bought 3 danishes and 6 filled donuts for ​$8.72. Mary Ann bought 4 of each for ​$10.44. What is the price of each type of​ pastry?

Question

what is the price of each type of​ pastry?

Answer 1

x=danish , y=donuts

3x+6y=$8.72 ------ eqt.1

4x+4y=$10.44 ------ eqt.2

solve eqt.1 for "y"

y=1.45-x/2

solve eqt.2 for "x" using "y" from above

4x+4(1.45-x/2) =$10.44

x=$2.31, the cost for one Danish

solve for cost of one donut

y=1.45-(2.31/2) =$0.3

Answer 2

3D +6F = 872

4D +4F = 1044

divide by 2

2D +2F = 522

multiply by 3

6D +6F = 1566

subtract 1st equation from last

6D-3D = 1566 -872

3D = 694

D = $2.31 and a 1/3 of a cent for a Danish

F=261-231= 29 2/3 cents for Filled donut

3(231 1/3) + 6(29 2/3) = 694+178 = 872

4(231 1/3) + 4(29 2/3) = 925 1/3+118 2/3= 1044

a fraction of a cent off, suggesting the problem may have a cent or so off somewhere

maybe go with Danish for $2.31 and Filled Donut for 30 cents

after rounding off to nearest cent