Question

200 people were surveyed about which four seasons is their favorite. of those surveyed 1/8 selected spring 2/5 selected summer and 3/10 selected autumn . The remainder of the participants selected winter. how many people surveryed selected winter as their favorite season?A 25B 35C 60D 70E 80

Answer 1

In order to find the number of people that selected winter, first let's find the corresponding fraction.

The sum of the fractions needs to be 1, so using the variable x to represent the fraction of people that selected winter, we have:

`\begin{gathered} (1)/(8)+(2)/(5)+(3)/(10)+x=1 \\ (5+16+12+40x)/(40)=(40)/(40) \\ 40x+33=40 \\ 40x=7 \\ x=(7)/(40) \end{gathered}`

Now, to find the number of people, we just need to multiply this fraction by the total number of people:

`(7)/(40)\cdot200=7\cdot5=35`

So the number of people that selected winter is 35, therefore the correct option is B.