text: 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