Question

Question 1 (1 point)

Answer 1

For this case we can propose a system of equations:

x: Let the variable that represents the number of small cookies

y: Let the variable that represents the number of large cookies

According to the statement we have:

$x + y = 130\\2x + 3y = 310$

We multiply the first equation by -2:

$-2x-2y = -260$

We have the following equivalent system:

$-2x-2y = -260\\2x + 3y = 310$

We add the equations:

$-2x + 2x-2y + 3y = -260 + 310\\y = 50$

We look for the value of the variable "x":

$x = 130-y\\x = 130-50\\x = 80$

Answer:

They sold 80 small cookies and 50 large cookies