Patty is ordering vests for her scout troop to wear in the Veterans Day parade. She ordered 12 vests from the Festive Features clothing shop. Since this was a bulk order, Festive Features reduced the price of each vest by 6 $. The total came to 132 $. Which equation can you use to find the amount, v, Festive Features normally charges for a vest? Choices: (A)6v - 12 = 132 (B)12(v - 6) = 132 (C)12v - 6 = 132 (D)6(v - 12) = 132 How much does Festive Features normally charge for a vest? ____ $

Question

Patty is ordering vests for her scout troop to wear in the Veterans Day parade. She ordered 12 vests from the Festive Features clothing shop. Since this was a bulk order, Festive Features reduced the price of each vest by 6 $. The total came to 132 $. Which equation can you use to find the amount, v, Festive Features normally charges for a vest?   Choices: (A)6v - 12 = 132 (B)12(v - 6) = 132 (C)12v - 6 = 132 (D)6(v - 12) = 132  How much does Festive Features normally charge for a vest?   ____ $

Bytelearn · Accepted Answer

Understand the problem: Understand the problem. Patty ordered 12 vests and got a discount of $6 per vest. The total cost was $132. We need to find the original price of each vest before the discount.Set up the equation: Set up the equation. Let v be the original price of one vest. The discount is $6, so the price after the discount is v - 6. Patty ordered 12 vests, so the total cost after the discount is 12 times the discounted price of one vest, which equals $132. The equation is 12(v - 6) = 132.Choose the correct equation: Choose the correct equation from the choices. The correct equation that represents the situation is: (B) 12(v - 6) = 132Solve the equation for v: Solve the equation for v. 12(v - 6) = 132 Divide both sides by 12 to isolate (v - 6): v - 6 = 132 / 12 v - 6 = 11 Now, add 6 to both sides to solve for v: v = 11 + 6 v = 17Verify the solution: Verify the solution. Plug the value of v back into the equation to check if it satisfies the equation: 12(17 - 6) = 132 12(11) = 132 132 = 132 The solution v = 17 satisfies the equation, so there is no math error.

Full solution

More problems from Solve two-step equations: word problems

Related topics