If 30% of a number is 60, what is the original number?

Get ready for the FTCE Mathematics 5-9 exam with our quiz. Test your knowledge with flashcards and multiple choice questions, complete with hints and explanations. Prepare effectively and pass your test!

To find the original number when you know that 30% of it equals 60, you can set up an equation. Let’s denote the original number as ( x ). According to the problem, 30% of ( x ) can be expressed mathematically as ( 0.30 \times x = 60 ).

To solve for ( x ), you would divide both sides of the equation by 0.30:

[

x = \frac{60}{0.30}

]

Calculating this gives:

[

x = 60 \div 0.30 = 60 \div \frac{3}{10} = 60 \times \frac{10}{3} = 200

]

Thus, the original number is 200. This means if you take 30% of 200, you do indeed get 60, confirming that B is the correct choice.

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