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? 12v - 6 = 132; 6v - 12 = 132; 6(v - 12) = 132; 12(v - 6) = 132. how much does festive features normally charge for a vest? $

Explanation:

Step1: Analyze the price - per - vest relationship

The normal price of a vest is $v$. The discounted price of a vest is $v - 6$.

Step2: Calculate the total cost

Patty ordered 12 vests at the discounted price. The total cost is the number of vests times the discounted price per vest. So the equation is $12(v - 6)=132$.

Step3: Solve the equation for $v$

First, divide both sides of the equation $12(v - 6)=132$ by 12:
$v-6=\frac{132}{12}$
$v - 6 = 11$.
Then, add 6 to both sides of the equation:
$v=11 + 6$
$v = 17$.

Answer:

The equation is $12(v - 6)=132$. The normal price of a vest is $\$17$.