Paul's rent budget is <u>$750</u>, given that his food budget of $225, is 30 percent of his rent budget.
<h3> What are fractions?</h3>
Fractions are representation of quantities as a part of a certain quantity.
Written as <u>a/b</u>, read as <u>a by b</u>, and functions as <u>a divided by b</u>, represents a fraction showing a parts of b equal parts.
a is called the numerator, and b is called the denominator.
<h3>What are percentages?</h3>
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.
<h3>How to solve the question?</h3>
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 <u>$750</u>, given that his food budget of $225, is 30 percent of his rent budget.
Learn more about percentages at
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