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30% of what number is 33?a) Write an equation to model the problem. Use x to represent the number.b) Solve the equation to find the number:

Respuesta :

a)

Let x be the number we don't know. We know that a percentage is equal to the percent divided by ten. Then the equation we are looking for is:

[tex]\frac{30}{100}x=33[/tex]

b)

Let's solve the equation:

[tex]\begin{gathered} \frac{30}{100}x=33 \\ 30x=33\cdot100 \\ 30x=3300 \\ x=\frac{3300}{30} \\ x=110 \end{gathered}[/tex]

Therefore the number we are looking for is 110

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