Question

1. bart 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.

1. which equation can you use to find u, the amount of hot sauce berts uncle usually puts in each batch of spicy wing sauce?

2(u - 3) = 24
3u - 2 = 24
3(u - 2) = 24
2u - 3 = 24

1. how much hot sauce does berts uncle usually put in each batch of spicy wing sauce?

1. write your answer as a whole number or a simplified fraction.

ounces

Explanation:

First Sub - Question (Equation Selection)

Step 1: Analyze the problem

Bert made 3 batches. The amount his uncle usually puts in each batch is \(u\). He reduced each batch by 2 ounces, so the amount per batch for Bert is \(u - 2\). The total amount of hot sauce used is 24 ounces, and since there are 3 batches, the total amount is \(3\times(u - 2)\). So the equation should be \(3(u - 2)=24\).

Step 1: Start with the equation

We have the equation \(3(u - 2)=24\).

Step 2: Divide both sides by 3

Divide each side of the equation by 3: \(\frac{3(u - 2)}{3}=\frac{24}{3}\), which simplifies to \(u - 2 = 8\).

Step 3: Add 2 to both sides

Add 2 to both sides of the equation: \(u-2 + 2=8 + 2\), so \(u = 10\).

Answer:

\(3(u - 2)=24\)

Second Sub - Question (Solving for \(u\))