Question

bert made 3 batches of his uncles signature spicy wing sauce for a barbecue last weekend. he didnt want the sauce to be too spicy, so he tweaked the recipe, reducing the amount of hot sauce he put in each batch by 2 ounces. bert used 24 ounces of hot sauce in all to make the wing sauce. which equation can you use to find u, the amount of hot sauce berts uncle usually puts in each batch of spicy wing sauce? 3u - 2 = 24 2u - 3 = 24 3(u - 2) = 24 2(u - 3) = 24 how much hot sauce does berts uncle usually put in each batch of spicy wing sauce? write your answer as a whole number or a simplified fraction. ounces

Explanation:

Step1: Define the amount per batch

Let $u$ be the amount of hot - sauce Bert's uncle usually puts in each batch. Bert reduced the amount in each batch by 2 ounces, so the amount in each batch he made is $u - 2$ ounces.

Step2: Calculate total amount for 3 batches

He made 3 batches. The total amount of hot - sauce he used is the amount per batch times the number of batches. So the total amount of hot - sauce he used is $3(u - 2)$ ounces, and we know he used 24 ounces in total. So the equation is $3(u - 2)=24$.

Step3: Solve the equation for $u$

First, divide both sides of the equation $3(u - 2)=24$ by 3:
$u - 2=\frac{24}{3}=8$.
Then, add 2 to both sides of the equation:
$u=8 + 2=10$.

Answer:

The equation is $3(u - 2)=24$, and the amount of hot - sauce Bert's uncle usually puts in each batch is 10 ounces.