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PLEASE HELP ASAP
For Thanksgiving, the Adams family is having a potluck dinner. Each person attending brings either 1 dish or 2 dishes. In total, 14 people come to the dinner, and there are 23 dishes. Using a system of equations, find how many people brought 1 dish and how many people brought 2 dishes. Use variables x = # of people that brought 1 dish and y = # of people that brought 2 dishes

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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

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