A system of** equations** that can be used to find the number of **packages** of **Brand X hot dog bun**s and **Brand Y hot dog buns **that** Christopher** buys is:

12x + 8y = 120

4.5x + 3.5y = 49.50.

The number of **packages** of** Brand X **bought is **4** and the number of **packages** of **Brand Y** bought is **9 **

The following** equations **can be derived from the question

12x + 8y = 120 equation 1

4.5x + 3.5y = 49.50 equation 2

x represents the number o**f packages of Brand X**

y represents the number of **packages of Brand Y **

The **elimination method** would be used to determine the values of x and y

Multiply equation 1 by 4.5 and equation 2 by 12

54x + 36y = 540 **equation 3**

54x + 42y = 594 **equation 4**

Subtract equation 3 from 4

6y = 54

Divide both sides of the equation by 6

y =** 9**

Substitute for y in equation 1

12x + 8(9) = 120

12x + 72 = 120

12x = 48

x =** 4 **

To learn more about **simultaneous equations,** please check: brainly.com/question/23589883?referrer=searchResults