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The Grade 8 class at Wheatly Middle School sold 77 boxes of greeting cards to raise money for the under privileged. This is 
22% of all the boxes of greeting cards sold. Calculate how many boxes were sold.

The Grade 88 class at Wheatly Middle School sold 7777 boxes of greeting cards to raise money for the under privileged. This is 22% 22 \% of all the boxes of greeting cards sold. Calculate how many boxes were sold.

Full solution

Q. The Grade 88 class at Wheatly Middle School sold 7777 boxes of greeting cards to raise money for the under privileged. This is 22% 22 \% of all the boxes of greeting cards sold. Calculate how many boxes were sold.
  1. Understand Problem: Understand the problem and what is given.\newlineWe know that the Grade 88 class sold 7777 boxes of greeting cards, which represents 22%22\% of the total number of boxes sold. We need to find the total number of boxes sold.
  2. Set Up Equation: Set up the equation to find the total number of boxes.\newlineIf 7777 boxes represent 22%22\% of the total, we can express this as 77=22%×Total77 = 22\% \times \text{Total}. To find the total, we need to divide the number of boxes sold by the percentage they represent.
  3. Convert Percentage: Convert the percentage to a decimal to perform the calculation.\newline22%22\% as a decimal is 0.220.22. So the equation becomes 77=0.22×Total77 = 0.22 \times \text{Total}.
  4. Solve for Total: Solve for the total number of boxes.\newlineTo find the total, we divide 7777 by 0.220.22.\newlineTotal = 77÷0.2277 \div 0.22
  5. Perform Division: Perform the division to find the total number of boxes sold. Total = 77÷0.22=35077 \div 0.22 = 350

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