Question

Topher has ( {t}/{4} ) of a whole pizza. How many ( {t}/{9} ) of a whole pizza are there in ( {t}/{4} ) of a whole pizza?

a) 9
b) ( {1}/{9} )
c) ( {1}/{4} )
d) 4

Answer 1

To find out how many (t/9) of a whole pizza are there in (t/4) of a whole pizza, we can set up a proportion and solve it to find the value of (t/9). The correct answer is 4.

Step-by-step explanation:

To find out how many {t}/{9} of a whole pizza are there in {t}/{4} of a whole pizza, we can set up a proportion. We know that {t}/{4} represents a certain amount of pizza, and we want to find out how many {t}/{9} are equivalent to that amount. Let x represent the number of {t}/{9} that are equivalent to {t}/{4}. This can be written as the proportion {t}/{4} = x·{t}/{9}.

To solve the proportion, we can cross-multiply and solve for x. Cross-multiplying gives us 9·{t} = 4·x. Simplifying, we get 9t = 4x. To isolate x, we divide both sides by 4, resulting in x = 9t/4.

Therefore, there are 9t/4 of a whole pizza in t/4 of a whole pizza. This means that option d) 4 is the correct answer.