Question

Paul's budget for food is 30% of the budget he has for rent.

Answer 1

Paul's rent budget is $750, given that his food budget of $225, is 30 percent of his rent budget.

What are fractions?

Fractions are representation of quantities as a part of a certain quantity.

Written as a/b, read as a by b, and functions as a divided by b, represents a fraction showing a parts of b equal parts.

a is called the numerator, and b is called the denominator.

What are percentages?

Percentages are modified fractions where the whole quantity is represented by 100.

To convert a fraction into percentages we multiply it by 100, while to convert percentages to fraction divided by 100.

How to solve the question?

In the question, we are given that Paul's budget for food is 30% of the budget he has for rent.

We are asked if his budget for food is $225, what is his budget for rent.

We assume Paul's budget for rent to be $x.

We know that Paul's food's budget is 30 percent of his rent.

Hence, Paul's food budget = 30% of x.

or, Paul's budget for food = 30/100 * x {To convert percentages to fraction divided by 100}

But, we know that Paul's food budget is $225. Thus, we can show that:

225 = 30/100 * x,

or, x = (225*100)/30 = 750.

Thus, Paul's rent budget is $750, given that his food budget of $225, is 30 percent of his rent budget.

Learn more about percentages at

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Answer 2

Budget for rent is $750

to get an easier number to work with, divide 225 by 3 to get what 10% which is 75

then multiply 75 by 10 to get the full 100% (because 10x10=100) which is 750.