Question

Bill and Mary Ann went to the Viola bakery. Bill bought 3 danishes and 6 filled donuts for ​$9.36. Mary Ann bought 4 of each for ​$7.68. What is the price of each type of​ pastry?

Answer 1

Respuesta:

Danishes cost $0.72, Filled donuts cost $1.2

Explicación paso a paso:

For this problem, two equations are needed.

We are going to use "x" for danishes and "y" for filled doghnuts

1. Bill: 3x+6y=9.36

2. Mary: 4x+4y:7.68

3x+6y=9.36 * 4 = 12x+24y=37.44

4x+4y=7.68 * -3 = -12x-12y=-23.04

12y=14.4

y=1,2

x=(9.36-6y) / 3

x=0.72

3(0.72)+6(1.2)=9.36

4(0.72)+4(1.2)=7.68