Question

A group of students surveyed chose baseball as their favor sport in the ratio 3:8

A) if 132 students were surveyed, find the number of students that chose soccer as their favorite sport.

B) if 56 students chose soccer as their favorite sport, find the number of students that chose baseball as their favorite sport.

Answer 1

49.5 baseball

82.5 soccer

Answer 2

For Part A answer is 96

For Part B answer is 21

Explanation

Let ratio be x

number of student to choose baseball as their favor sport = 3x

number of student to choose soccer as their favor sport =8x

Total students (in terms of x ) =

3x +8x = 11x

Part (A) 11x = 132

x = 12

number of student with soccer = 8 (12) = 96

Part B

Number of students with Soccer = 8x (in terms of x )

8x = 56

x =7

Number of students with baseball = 3x = 3(7) = 21