Question

A group of students were playing basketball in the gym. There were 4 students from Team 6-1 for every 5 students from Team 6-3. If there were 20 students from Team 6-1, how many total students were playing basketball in the gym?

a) 36
b) 40
c) 45
d) 50

Answer 1

To find the total number of students playing basketball in the gym, set up a proportion and solve for the missing variable. Then, add the number of students from both teams to find the total number of students.

Step-by-step explanation:

To find the total number of students playing basketball in the gym, we need to determine the ratio of students from Team 6-1 to students from Team 6-3. From the given information, we know that for every 4 students from Team 6-1, there are 5 students from Team 6-3. If there are 20 students from Team 6-1, we can set up a proportion to find the number of students from Team 6-3. Let x be the number of students from Team 6-3:

4/20 = 5/x

Cross-multiplying, we get 4x = 20 * 5 = 100. Dividing both sides of the equation by 4, we find that x = 25. Therefore, there are 25 students from Team 6-3. To find the total number of students, we add the number of students from both teams: 20 + 25 = 45. So, the correct answer is c) 45.