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) 2u−3=24(B) 3(u−2)=24(C) 3u−2=24(D) 2(u−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) 2u−3=24(B) 3(u−2)=24(C) 3u−2=24(D) 2(u−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 reduced the amount of hot sauce by 2 ounces for each batch. He used a total of 24 ounces of hot sauce. We need to find the original amount of hot sauce used in each batch by Bert's uncle.
Translate the problem: Translate the problem into an equation.Let u be the usual amount of hot sauce Bert's uncle puts in each batch. Bert made 3 batches and reduced each by 2 ounces. So, the total amount of hot sauce used by Bert is 3 times the usual amount minus 2 ounces for each batch, which equals 24 ounces.The equation is 3(u−2)=24.
Identify the correct equation: Identify the correct equation from the given choices.The correct equation that represents the situation is 3(u−2)=24, which is choice (B).
Solve the equation for u: Solve the equation for u.3(u−2)=24Divide both sides by 3 to isolate the term with u.(u−2)=324(u−2)=8Now, add 2 to both sides to solve for u.u=8+2u=10
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