## xokatexo 3 years ago A school offers hockey and basketball. 300 students were surveyed. 120 students play hockey, only 90 students play basketball, only 30 students do not participate in either. Hoe many students play both hockey and baskeball?? Can someone go through this step by step with a venn diagram? this is on my test but i keep getting the wrong answer thanks!

1. completeidiot

just be careful not to count the people who play both sports twice

2. xokatexo

ii did and i got the right number for both but idk something keeps happening so it doesn't add up to 300

3. completeidiot

|dw:1348172355374:dw| a total of 300 peopl that just means 120+90+30+x=300 solve for x

4. xokatexo

i cant use algerbra for it

5. xokatexo

algebra *

6. completeidiot

fine, pretend the x isnt there 300-120-90-30 = number of people who play both sports

7. completeidiot

need i explain it further?

8. xokatexo

yeah i did that but can you do the rest and ill see where i messed up?

9. completeidiot

i only see one question whats the other?

10. completeidiot

how many people play hockey total? how many people play basketball total?

11. xokatexo

thats the only question but idk how to solve it without algebra

12. xokatexo

well yeah i still need the numbers for the hockey and basketball

13. completeidiot

300-120-90-30 = 60 80 people play both sports its arithematic, not algebra we start with 300 people, 120 play onlyhockey meaning 180 people play basketball or dont play a sport, or both sports 30 people dont play a sport meaning 150 people play basketball or both sports 90 people play only basketball leaving only 60 people that play both sports

14. completeidiot

if you wanted to find the total amount of people who play basket ball, take the amount of people who play only basketball, and then add it to the number of people who play both sports same for hockey

15. xokatexo

the only thing i dont understand is why you subtract all the numbers in the beginning the rest i understand

16. completeidiot

ok, think of it like this say i have 10 apples, they are either yellow or red there are 6 red apples, how many yellow apples are there you would subtract in order to determine the number of yellow apples now think of it in terms of people

17. completeidiot

sorry i gotta go to class, i hope i answered your question

18. xokatexo

thanks so muchh