Duc and Hue baked cookies to help with their community's fundraiser. Duc baked 10 less than twice the number of cookies Hue baked. Together they baked 80 cookies.

Which system of equations models this situation if d represents the number of cookies Duc baked and h represents the number of cookies Hue baked?

d=2h+10

d=80−h

h=2d−10

d+h=80

d=2h−10

d+h=80

h=2d+10

h=80−d

The system of linear equations that represents the given situation is (d + h = 80) and (d = 2h - 10) and this can be determined by using the given data.

Given :

Duc and Hue baked cookies to help with their community's fundraiser.
Duc baked 10 less than twice the number of cookies Hue baked.
Together they baked 80 cookies.

The following steps can be used in order to determine the system of equations models given situation:

Step 1 - Let the total number of cookies Duc baked be 'd' and the total number of cookies Hue baked be 'h'.

Step 2 - The linear equation that represents the total number of cookies Hue and Duc baked is:

d + h = 80

d = 80 - h --- (1)

Step 3 - The linear equation that represents that Duc baked 10 less than twice the number of cookies Hue baked is:

d = 2h - 10 --- (2)

Step 4 - Substitute the value of 'd' in equation (2).

2h - 10 = 80 - h

Step 5 - Simplify the above expression.

3h = 90

h = 30 cookies

Step 6 - Substitute the value of 'h' in equation (1).

d = 80 - 30

d = 50 cookies

Therefore, the correct option is C).

For more information, refer to the link given below:

https://brainly.com/question/11897796