Hey. Let me help you on this one.
In order for us to solve this problem, we will require to set up an expression which can be solved later. I will also be attaching an image that shows all the work that was done in order to achieve the answer. Make sure to look over it in case you still don't understand something.
Minnie and Tori ate 9 pieces of cake. We know that Minnie ate 3 pieces of cake, and Tori ate one fourth, or in other words, 25%. Let's form an expression to find out how much Tori ate. We can do this by subtracting the amount of pieces Minnie ate out of the total amount of pieces eaten.
[tex]9-3=6[/tex]
Great! Tori ate 6 pieces of cake, which accompany for 25% of the cake. We are looking for the total amount of cake pieces, meaning that we need to know 100% of it. Let's form a ratio that we can solve.
[tex] \frac{25}{6} : \frac{100}{x} [/tex]
In order for us to solve the ratio above, we need to find out how many times can 25 fit in 100, and multiply our denominator by that value.
[tex]6( \frac{100}{25} )[/tex]
[tex]6(4)=24[/tex]
Awesome! We now know our final answer.
Answer: 24 cake pieces are in the cake.
