Question

The results of a survey are shown in the pie chart below and the survey 28 students say their favorite dessert is ice cream how many people say their favorite dessert is pie cake: 27% candy: 23% Pie: 15%

Answer 1

12 students prefer pie

Step-by-step explanation:

The percentages of preference for each dessert are:

Cake: 27%

Candy: 23%

Pie: 15%

Since the total must be 100%, we can find the percentage of preference for ice cream:

$p(ice cream)=100-27-23-15=35\%$

We also know that 28 students say that their favorite dessert is ice cream: if we call N the total number of students, this means that 35% of the total students prefer ice cream. Therefore,

$\frac{35}{100}N=28\\N=\frac{28\cdot 100}{35}=80$

So the total number of students is 80.

Now we know that the percentage of preference for the pie is 15%, therefore the corresponding number of students is:

$n(pie)=\frac{15}{100}N=\frac{15}{100}(80)=12$

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