Answer
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Step 1:I'll solve this step by step using the specified LaTeX formatting guidelines:
Step 2:: Translate the word problem into an algebraic equation
• In mathematical terms, this means: $$0.20a = 11
• The problem states that 20% of a number is 11
Step 3:: Solve for a by dividing both sides by 0.20
• Divide both sides of the equation by $$0.20$$ to isolate $$a
• a = \frac{11}{0.20}
Step 4:: Calculate the value of a
• $$a = 55
• a = 11 \div 0.20
Step 5:: Verify the solution
• Check: 20% of 55 is $$0.20 \times 55 = 11$$ ✓
Final Answer
a = 55
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