12 students prefer pie
Step-by-step explanation:
Let's call N the total number of students.
We know that:
27% of them prefer cake
23% of them prefer candy
15% of them prefer pie
Therefore, the fraction of students who prefer ice cream is:
[tex]100-27-23-15=35\%[/tex]
We also know that the number of students who prefer ice cream is 28: so, 28 out of N represents the 35%. We can use this information to find N:
[tex]\frac{35}{100}N=28\\N=\frac{28\cdot 100}{35}=80[/tex]
So, the total number of students is 80.
Now we c an find the number of students who prefer pie, which are the 15% of the total:
[tex]n' = \frac{15}{100}N=\frac{15}{100}(80)=12[/tex]
Learn more about percentage:
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