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)12(v - 6) = 132 (B)12v - 6 = 132 (C)6v - 12 = 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)12(v - 6) = 132 (B)12v - 6 = 132 (C)6v - 12 = 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 normal price of a vest. Since Patty got a $6 discount on each vest, the price she paid per vest is (v - 6). She bought 12 vests, so the total cost is 12 times the discounted price per vest. This gives us the equation 12(v - 6) = 132.Identify the correct equation: Identify the correct equation from the choices. The correct equation that represents the situation is 12(v - 6) = 132, which is choice (A).Solve for v: Solve the equation for v. We have the equation 12(v - 6) = 132. To solve for v, we first divide both sides by 12 to isolate the term (v - 6). 12(v - 6) / 12 = 132 / 12 v - 6 = 11Find the value of v: Add 6 to both sides to find the value of v. v - 6 + 6 = 11 + 6 v = 17

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