Question

Tristan and his children went into a bakery and he bought $15 worth of cookies and brownies. Each cookie costs $1.50 and each brownie costs $0.75. He bought a total of 15 cookies and brownies altogether. Graphically solve a system of equations in order to determine the number of cookies, x, commax, and the number of brownies, y, commay, that Tristan bought

Answer 1

x=8 y=4

Step-by-step explanation:

$1.50x 8=$12

.75x4=$3

$12+$3=$15

Answer 2

To find the number of cookies and brownies Tristan bought, we form two equations: 1.50x + 0.75y = 15 and x + y = 15. We then graph these equations on a coordinate plane and the intersection point of the two lines will give us the solution.

Step-by-step explanation:

Graphical Solution for the Number of Cookies and Brownies

To determine the number of cookies, x, and the number of brownies, y, that Tristan bought, we need to set up a system of equations based on the information given and then solve it graphically.

The first equation represents the total amount spent on cookies and brownies:

1. 
   

The second equation represents the total number of cookies and brownies:

1. 
   

To graphically solve this system, we plot both equations on a coordinate plane, where the x-axis represents the number of cookies and the y-axis represents the number of brownies. The point where the two lines intersect gives us the solution to the system, which is the number of cookies and brownies Tristan bought.