Maplewood Furniture Store is having a sale on dining room furniture. When a customer purchases a set of dining chairs, a one-time discount of 55 $ is applied to the total. During the sale, Rhianna buys a set of 6 chairs that match the table she inherited from her grandmother. Rhianna pays 455 $ in all. Which equation can you use to find the regular cost, c, of each chair? Choices: (A)6(c - 55) = 455 (B)55c - 6 = 455 (C)6c - 55 = 455 (D)55(c - 6) = 455 What is the regular cost of each chair? ____ $

Question

Maplewood Furniture Store is having a sale on dining room furniture. When a customer purchases a set of dining chairs, a one-time discount of 55 $ is applied to the total. During the sale, Rhianna buys a set of 6 chairs that match the table she inherited from her grandmother. Rhianna pays 455 $ in all. Which equation can you use to find the regular cost, c, of each chair?   Choices: (A)6(c - 55) = 455 (B)55c - 6 = 455 (C)6c - 55 = 455 (D)55(c - 6) = 455  What is the regular cost of each chair?   ____ $

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Identify Equation: Identify the correct equation to represent the situation. Rhianna gets a $55 discount on the total price of 6 chairs, and she pays $455 after the discount. The equation should represent the original price of each chair minus the discount, multiplied by the number of chairs, equaling the total paid amount. Choices analysis: (A) 6(c - 55) = 455 - This means 6 times (the cost of each chair minus $55) equals $455. (B) 55c - 6 = 455 - This doesn't make sense as it implies multiplying the cost per chair by 55 then subtracting 6. (C) 6c - 55 = 455 - This means 6 times the cost of each chair minus $55 equals $455. (D) 55(c - 6) = 455 - This implies $55 times (the cost of each chair minus 6), which doesn't fit the discount description. Correct choice: (A) 6(c - 55) = 455 Choices Analysis: Solve the equation 6(c - 55) = 455 to find the regular cost c of each chair. First, divide both sides of the equation by 6 to isolate (c - 55). (c - 55) = 455 / 6 (c - 55) = 75.83 Next, add 55 to both sides to solve for c. c = 75.83 + 55 c = 130.83

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