this years funderaiser picnc is $10 per person plus $2 for each person in the family. determine the number of people in a family that pays $36?

Please see my answer below.

but you got 26 how did you get that

36 - 10 = 26

Your original problem stated that each family paid $10.

the problem's numbers used $10,$2, $36

To determine the number of people in a family that pays $36 for the fundraiser picnic, we'll need to set up an equation based on the given information.

Let the number of people in the family be represented by "x". According to the information provided, each person in the family pays $2, in addition to the $10 per person required for the fundraiser picnic.

So, the equation can be set up as:
Total Cost = $10 per person + $2 per person × Number of people in the family

Using the given information where the total cost is $36, we can substitute the values in the equation and solve for "x":

$36 = $10 + $2x

Next, we'll isolate "x" by moving the constant term ($10) to the other side of the equation:

$2x = $36 - $10
$2x = $26

Now, divide both sides of the equation by $2 to solve for "x":

x = $26 ÷ $2
x = 13

Therefore, a family with 13 people would pay a total of $36 for the fundraiser picnic.