Question

athletics of 107 athletes surveyed about what sport they play, some play basketball. of those that play basketball, 48 play baseball and the remaining 33 do not play baseball. write an equation to find the number of athletes surveyed who do not play basketball.

Explanation:

Step1: Define variable for target group

Let $x$ = athletes not playing basketball

Step2: Sum all groups to total

$$x + 48 + 33 = 107$$

Step3: Simplify and solve for $x$

$$x + 81 = 107$$
$$x = 107 - 81$$
$$x = 26$$

Answer:

Let $x$ = number of athletes who do not play basketball. The equation is $x + 48 + 33 = 107$, and $x=26$.