Question: please someone help me with my math!!! Does anyone know how to solve this word problem?? There are two companies that sell widgets. Both companies sell the widgets to the general public for the same price. In order to earn business, Company A offers a special 25% discount on each order. In response, Company B offers a 35% discount on every dollar the customer spends over $50. Both discounts are rounded to the nearest cent. If you place an order for $50 or less, it is less expensive to order from Company A. If you place a large enough order, it will be less expensive to order from Company B. At what price does it become less expensive to order from Company B?\n\n1. Determine algebraically the actual price at which Company B offers you the same discount as Company A. Make sure to show all relevant work.\n\n \n2. Determine the actual price at which Company B will give you a greater discount than Company A. \n\n1.  Explain how you reached this conclusion.

Answer: Find the price at which 25% off the regular price equals 35% off an amount greater than $50.\n\nLet P= the price at which the discount from each company is equal.\n\nthen   .25 p = discount from company A\nand    .35(p -50) = discount from company B\n\nset the two amounts equal to each other:\n\n.25 p = .35(p - 50)\n.25p/.35p = p - 50\n.25p/.35p - p = -50\nmultiply by -1 to make it easier:\n\np- .25p/.35p = 50\np(1-.25/.35) = 50\n\np = 50/(1 - .25/.35)\n\np = 50/(1 - 5/7)\n\np = 50/(7/7 - 5/7)\n\np = 50/(2/7) = 50 x 7/2 = 350/2 = 175\n\nThe discount is equal at a price of $175\n\nCompany B's dicount is greater at any price greater than $175
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