Keisha and her friends visit the concession stand at the basketball game. the stand charges $2 for a hotdog and $1 for a drink. the friends buy a total of 8 items for $11. how many hot dogs and how many drinks did they buy? show your work and explain your reasoning. ( , for math homework)

They bought 3 hot dogs and 5 drinks

Step-by-step explanation:

Well, its mostly guess and check.

x=hot dogs                   y= drinks                    x+y=8

2x + 1y =11

2(1) + 1(7) = 9 (wrong answer)

2(2) + 1(6)= 10 (wrong answer)

2(3) + 1(5) = 11 (right answer)

The reason I pick these numbers is because the x and the y need to add up to 8 and as you can see on each try they added up to 8 but it also had the equation itself had to add up to $11. So, you substitute the numbers that add up to 8 to x and y to make sure the equation equals 11.

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: