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.

Explanation:

The complete question would be:

If ice cream is the last dessert, then we can solve for how many percent of the students like ice cream. If we add the 4 desserts percent, it should be equal to 100%

Pie : 15%

Candy : 23%

Cake : 27%

Pie% + Candy% + cake% + ice cream% = 100%

15% + 23% + 27% + Ice cream% = 100%

65% + Ice cream% = 100%

Ice cream% = 100% - 65%

Ice cream % = 35%

Percent is a way of saying how many out of a 100. Before we can tell how many students like pie, we need to figure out how many students were surveyed.

It says here that 35% of them like ice cream and among the students, 28 students like ice cream. This means that 28 is 35% of a number, which will be the number of students surveyed.

So as a fraction:

`35\% = (35)/(100)`

We need to find a ratio that is proportional to that, with 28 as the part of the whole.

`(35)/(100) = (28)/(x)\\\\Cross-multiply\\\\35x = 28(100)\\\\35x = 2800\\\\Divide\;both\;sides\;by\;35\\\\(35x)/(35) = (2800)/(35)\\\\x=80`

So that is the number of students survey. Now to look for how may people like pie, we find what is 15% of 80. So we find the part of the whole this time:

`(15)/(100)=(x)/(80)\\\\15(80)=100x\\\\1200 = 100x\\\\(1200)/(100)=(100x)/(100)\\\\12 = x`