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Bert made 33 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 22 ounces. Bert used 2424 ounces of hot sauce in all to make the wing sauce.\newlineWhich equation can you use to find uu, the amount of hot sauce Bert's uncle usually puts in each batch of spicy wing sauce?\newlineChoices:\newline(A) 3(u2)=243(u - 2) = 24\newline(B) 3u2=243u - 2 = 24\newline(C) 2(u3)=242(u - 3) = 24\newline(D) 2u3=242u - 3 = 24\newlineHow much hot sauce does Bert's uncle usually put in each batch of spicy wing sauce?\newlineWrite your answer as a whole number or a simplified fraction.\newline____ ounces

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Q. Bert made 33 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 22 ounces. Bert used 2424 ounces of hot sauce in all to make the wing sauce.\newlineWhich equation can you use to find uu, the amount of hot sauce Bert's uncle usually puts in each batch of spicy wing sauce?\newlineChoices:\newline(A) 3(u2)=243(u - 2) = 24\newline(B) 3u2=243u - 2 = 24\newline(C) 2(u3)=242(u - 3) = 24\newline(D) 2u3=242u - 3 = 24\newlineHow much hot sauce does Bert's uncle usually put in each batch of spicy wing sauce?\newlineWrite your answer as a whole number or a simplified fraction.\newline____ ounces
  1. Understand the problem: Understand the problem.\newlineBert made 33 batches of wing sauce and used 2424 ounces of hot sauce in total. He reduced the amount of hot sauce by 22 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 uu.
  2. Set up the equation: Set up the equation.\newlineSince Bert made 33 batches and reduced each batch by 22 ounces, we can express the total amount of hot sauce used as 33 times the (usual amount minus 22 ounces). This gives us the equation 3(u2)=243(u - 2) = 24.
  3. Choose the correct equation: Choose the correct equation from the choices.\newlineLooking at the choices given, we can see that choice (A) 3(u2)=243(u - 2) = 24 matches our equation from Step 22. Therefore, the correct equation to use is:\newline(A) 3(u2)=243(u - 2) = 24
  4. Solve the equation for u: Solve the equation for u.\newlineWe have the equation 3(u2)=243(u - 2) = 24. To solve for u, we first divide both sides by 33 to isolate the term (u2)(u - 2).\newline3(u2)3=243\frac{3(u - 2)}{3} = \frac{24}{3}\newlineu2=8u - 2 = 8\newlineNext, we add 22 to both sides to solve for u.\newlineu2+2=8+2u - 2 + 2 = 8 + 2\newlineu=10u = 10