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Question

A contractor is adding a back porch on to a house. The porch needs to hold 20 people and furniture that weighs 250 lb. The contractor calculates that the porch needs to hold 3750 lb to meet that specification. What value did the contractor use for the weight of a person?

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3750250=20x3500=20x3500÷20=20x÷20175=x3750 - 250 = 20x\\3500 = 20x\\3500 \div 20 = 20x \div 20\\175 = x

3750 is the total porch can hold 250 is the weight of the furniture There are 20 people The weight of each person is represented by x. So, the total porch weight less the furniture gives the maximum weight of the 20 people. Divide to find the average weight per person.

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