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Q
QuestionMathematics

Write the equation for: 30 is 75% of what number. Show your work.
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Answer

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Step 1:
I'll solve this problem step by step using the specified LaTeX formatting guidelines:

Step 2:
: Translate the word problem into an algebraic equation

30 = 0.75x
The phrase "30 is 75% of what number" can be written as an equation:

Step 3:
: Solve for x by dividing both sides by 0.75

40 = x

Step 4:
: Verify the solution

• 75% of 40 is $$0.75 \times 40 = 30$$ ✓
Let's check our work:

Final Answer

The number 30 is 75% of 40.