Shipping Company A charges $14 plus $2.25 a pound to ship overnight
packages. Shipping Company B charges $20 plus $1.50 a pound to ship
an overnight package. For what weight is the charge the same for the two
companies?

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Accepted Answer

For 8 pounds of weight, the charges be the same for both the companies.Given, that To ship an overnight packageShipping Company A charges $14 plus $2.25 per pound Shipping Company B charges $20 plus $1.50 per pound Let, the weight be w And the cost of shipment by company A & B be A(w) & B(w) respectively.According to the question,A(w) = 14 + 2.25wB(w) = 20 + 1.50wNow, when charges be the sameA(w) = B(w)14 + 2.25w = 20 + 1.50wOn subtracting 1.50w on both the sides, we get14 + 2.25w - 1.50w = 20 + 1.50w - 1.50w14 + 0.75w = 20Now on subtracting 14 on both the sides, we get14 + 0.75w - 14 = 20 - 140.75w = 6On dividing both the sides by 0.75, we get0.75w/0.75 = 6/0.75w = 8Hence, weight = 8 pounds.For 8 pounds of weight, the charges be the same for both the companies.Learn more about Linear Equations in One variable here https://brainly.com/question/85774#SPJ9