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) 6c−55=455(B) 55c−6=455(C) 6(c−55)=455(D) 55(c−6)=455What is the regular cost of each chair?____ $
Q. 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) 6c−55=455(B) 55c−6=455(C) 6(c−55)=455(D) 55(c−6)=455What is the regular cost of each chair?____ $
Understand the problem: Understand the problem.Rhianna buys 6 chairs and gets a one-time discount of $55. She pays a total of $455. We need to find the regular cost of each chair before the discount.
Set up the equation: Set up the equation.Let c be the regular cost of each chair. The total cost without the discount would be 6 times the cost of each chair, which is 6c. After applying the one-time discount of $55, the total cost is $455. So the equation is 6c−55=455.
Identify the equation: Identify the correct equation from the choices.The correct equation that represents the situation is (A)6c−55=455.
Solve for c: Solve the equation for c.Add 55 to both sides of the equation to isolate the term with c on one side:6c−55+55=455+556c=510Now, divide both sides by 6 to solve for c:66c=6510c=85
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