Answer:
5 people brought 1 dish & 9 people brought 2 dish
Step-by-step explanation:
We can create a system of equations (2 equations) in solving this problem.
Let x = number of people that brought 1 dish
Let y = number of people that brought 2 dish
Total, 14 people came, so we can write:
x + y = 14
[ or x = 14 - y ]
In total there were 23 dishes, remember x is 1 dish people and y is 2 dish people, so we can write:
1x + 2y = 23
or x + 2y = 23
Now, putting 1st equation into 2nd equation, we get an equation in y and solve for y first. Shown below:
x + 2y = 23
14 - y + 2y = 23
y = 23 - 14
y = 9
Now, finding x:
x = 14 - y
x = 14 - 9
x = 5
So, 5 people brought 1 dish & 9 people brought 2 dish
