To find out the value the contractor used for the weight of a person, we can set up an equation based on the total weight requirement for the porch.
The porch needs to hold 20 people, and there is also furniture that weighs 250 pounds, making the total weight requirement 3750 pounds.
We can express the total weight as follows:
Total weight = (Weight per person × Number of people) + Weight of furniture
Using the information given:
3750 = (Weight per person × 20) + 250
Now, we can isolate the term for the weight of people:
3750 - 250 = Weight per person × 20 3500 = Weight per person × 20
Now, divide both sides by 20 to solve for the weight per person:
Weight per person = 3500 / 20 Weight per person = 175
Therefore, the contractor used a value of 175 pounds for the weight of a person.