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Pinewood Academy's winter carnival is coming up, and Mr. Meyer is in charge of ordering the craft kits again. He knows he ordered 99 boxes of snowman kits last year but can't remember how many kits come in a box. He checks the records and finds that the school used 168168 of the snowman kits last year and had 1212 left over after the event.\newlineWhich equation can Mr. Meyer use to find how many snowman kits, kk, come in each box?\newlineChoices:\newline(A) 9(k168)=129(k - 168) = 12\newline(B) 9k168=129k - 168 = 12\newline(C) 168(k9)=12168(k - 9) = 12\newline(D) 168k9=12168k - 9 = 12

Full solution

Q. Pinewood Academy's winter carnival is coming up, and Mr. Meyer is in charge of ordering the craft kits again. He knows he ordered 99 boxes of snowman kits last year but can't remember how many kits come in a box. He checks the records and finds that the school used 168168 of the snowman kits last year and had 1212 left over after the event.\newlineWhich equation can Mr. Meyer use to find how many snowman kits, kk, come in each box?\newlineChoices:\newline(A) 9(k168)=129(k - 168) = 12\newline(B) 9k168=129k - 168 = 12\newline(C) 168(k9)=12168(k - 9) = 12\newline(D) 168k9=12168k - 9 = 12
  1. Understand total kits: Step 11: Understand the total number of kits used and left over.\newlineMr. Meyer used 168168 kits and had 1212 left over, so the total kits from the boxes is 168+12=180168 + 12 = 180 kits.
  2. Set up equation for kits per box: Step 22: Set up the equation to find the number of kits per box, kk.\newlineSince he ordered 99 boxes and the total number of kits is 180180, the equation to find kk is 9k=1809k = 180.
  3. Solve for k: Step 33: Solve for k.\newlineDivide both sides of the equation by 99 to isolate kk: k=1809=20k = \frac{180}{9} = 20.
  4. Check equation choices: Step 44: Check the equation choices given.\newlineThe correct equation that represents the situation is 9k=1809k = 180. However, this equation is not listed in the choices. The closest correct form based on the setup is 9k168=129k - 168 = 12, which rearranges to 9k=1809k = 180.