Question

using a two-way table to solve a problem
a total of 100 students play on the sports academy’s soccer, track, or basketball teams. no student plays on more than one team. 61 of the students are boys. there are 36 students on soccer teams, 19 are on the girls’ soccer team. there are 35 students on basketball teams, 18 are on the boys’ basketball team. how many boys are on the track team?

Explanation:

Step1: Find boys' soccer team size

Total soccer students: 36. Girls' soccer: 19. So boys' soccer: $36 - 19 = 17$.

Step2: Find boys' basketball team size

Given boys' basketball: 18.

Step3: Find total boys in soccer and basketball

Boys' soccer + boys' basketball: $17 + 18 = 35$.

Step4: Find boys on track team

Total boys: 61. Subtract boys in soccer/basketball: $61 - 35 = 26$.

Answer:

26