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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? 3(u - 2) = 24 2(u - 3) = 24 2u - 3 = 24 3u - 2 = 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
Step1: Analyze the situation
Bert made 3 batches. He reduced the amount in each batch by 2 ounces from the original amount $u$. So the amount in each of his batches is $u - 2$ ounces.
Step2: Set up the equation
The total amount of hot - sauce he used is 24 ounces. Since he made 3 batches with $u - 2$ ounces in each batch, 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 $u - 2=8$:
$u=8 + 2=10$.
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The equation is $3(u - 2)=24$.
10 ounces