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) 12v−6=132(B) 6(v−12)=132(C) 12(v−6)=132(D) 6v−12=132How much does Festive Features normally charge for a vest?____ $
Q. 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) 12v−6=132(B) 6(v−12)=132(C) 12(v−6)=132(D) 6v−12=132How much does Festive Features normally charge for a vest?____ $
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 one vest before the discount.
Set up the equation: Set up the equation.Let v be the original price of one vest. Since there was a $6 discount on each vest, the price for each vest after the discount is (v−6). Patty ordered 12 vests, so the total cost is 12 times the discounted price of one vest, which equals $132.The equation is 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 (C).
Solve the equation for v: Solve the equation for v.12(v−6)=132Divide both sides by 12 to isolate (v−6):v−6=12132v−6=11Now, add 6 to both sides to solve for v:v=11+6v=17
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