Arturo asked all of his classmates if they prefer soccer or football. He found that 16 students prefer football while 20 prefer soccer. Which ratio represents the number of students who prefer soccer to the total number of students in Arturo’s class?

Question

StartFraction 5 Over 9 EndFraction
StartFraction 4 Over 5 EndFraction
StartFraction 5 Over 4 EndFraction
StartFraction 9 Over 4 EndFraction

Answer 1

To find the ratio that represents the number of students who prefer soccer to the total number of students in Arturo’s class, we first need to determine the total number of students.

Number of students who prefer soccer: 20
Number of students who prefer football: 16

Total number of students = 20 (soccer) + 16 (football) = 36.

Now, the ratio of students who prefer soccer to the total number of students is:

\[ \text{Ratio} = \frac{\text{Number of students who prefer soccer}}{\text{Total number of students}} = \frac{20}{36}. \]

We can simplify this fraction:

\[ \frac{20}{36} = \frac{5}{9} \quad (\text{dividing both numerator and denominator by 4}). \]

So the ratio that represents the number of students who prefer soccer to the total number of students in Arturo’s class is:

\[ \frac{5}{9}. \]

Thus, the correct answer is StartFraction 5 Over 9 EndFraction.