Question

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:

Answer 1

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:

`(30)/(100)x=33`

b)

Let's solve the equation:

`\begin{gathered} (30)/(100)x=33 \\ 30x=33\cdot100 \\ 30x=3300 \\ x=(3300)/(30) \\ x=110 \end{gathered}`

Therefore the number we are looking for is 110