Bert made 3 batches of his uncle's signature spicy wing sauce for a barbecue last weekend. He didn't 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 Bert's uncle usually puts in each batch of spicy wing sauce?Choices:(A) 3(u−2)=24(B) 3u−2=24(C) 2(u−3)=24(D) 2u−3=24How much hot sauce does Bert's uncle usually put in each batch of spicy wing sauce?Write your answer as a whole number or a simplified fraction.____ ounces
Q. Bert made 3 batches of his uncle's signature spicy wing sauce for a barbecue last weekend. He didn't 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 Bert's uncle usually puts in each batch of spicy wing sauce?Choices:(A) 3(u−2)=24(B) 3u−2=24(C) 2(u−3)=24(D) 2u−3=24How much hot sauce does Bert's uncle usually put in each batch of spicy wing sauce?Write your answer as a whole number or a simplified fraction.____ ounces
Understand the problem: Understand the problem.Bert made 3 batches of wing sauce and used 24 ounces of hot sauce in total. He reduced the amount of hot sauce by 2 ounces for each batch. We need to find the original amount of hot sauce used in each batch by Bert's uncle, which we will call u.
Set up the equation: Set up the equation.Since Bert made 3 batches and reduced each batch by 2 ounces, we can express the total amount of hot sauce used as 3 times the (usual amount minus 2 ounces). This gives us the equation 3(u−2)=24.
Choose the correct equation: Choose the correct equation from the choices.Looking at the choices given, we can see that choice (A) 3(u−2)=24 matches our equation from Step 2. Therefore, the correct equation to use is:(A) 3(u−2)=24
Solve the equation for u: Solve the equation for u.We have the equation 3(u−2)=24. To solve for u, we first divide both sides by 3 to isolate the term (u−2).33(u−2)=324u−2=8Next, we add 2 to both sides to solve for u.u−2+2=8+2u=10
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