## King Group Title : Help..............In a school a certain number of boys and girls attend a certain examination. The mean mark of the boys was 40 and the mean mark of the girls was 60.Mean of all students is 48.Find the number of boys and girls in a class of 100. 2 years ago 2 years ago

1. wasiqss Group Title

(40x+60y)/100=48 x+y=100

2. wasiqss Group Title

solve two simoultaneous eq

3. wasiqss Group Title

boys r 60, galx 100

4. King Group Title

not possible sorry wrong answer x+y needs to be 100

5. wasiqss Group Title

sorry i mean to say galx 40

6. wasiqss Group Title

typed wrong

7. King Group Title

oh ok but how did u get first two equations....xplain

8. King Group Title

sry only first equation

9. wasiqss Group Title

listen what will be mean of marks? total marks divided by candidate

10. King Group Title

and what is x and what is y?

11. wasiqss Group Title

x is boys , y is number of galx

12. King Group Title

yeah but how 40 * x and 60 * y?

13. wasiqss Group Title

so the total marks is number of boys into their marks+number of galx nto their mean marks then divided by total number of students that s 100

14. wasiqss Group Title

ok

15. King Group Title

why is 40 multiplied by x and 60 multiplied into y?

16. wasiqss Group Title

40 is the mean marks of boys and x is the total number of boys in class and y is total number of gals ad 60 is the mean marks of gal

17. King Group Title

yeah so why do we multiply?

18. King Group Title

why do we multiply?

19. King Group Title

why do we multiply?

20. King Group Title

anwar help?

21. AnwarA Group Title

OK. Let $$n$$ and $$m$$ be the number if boys and girls respectively, then $$40 n$$ is the total points that boys scored, and $$60m$$ is the total of the girls. We can then write $$\frac{40n+60m}{m+n}=48$$. We also have $$m+n=100$$. Solve them to find m and n.

22. wasiqss Group Title

we multiply to get the total number of marks like suppose there are 3 students in class and their mean mark is 90 so how we will get the marks obtained by class in total as in we want to add the marks of all the student

23. AnwarA Group Title

If you solve them, you will get $$n=70 \text{ boys, and } m=30 \text{ girls}$$.

24. King Group Title

no anwar u are wrong

25. King Group Title

wasiq why will we multiply if 3 students are there then mmean is x1+x2+x3/3=90

26. AnwarA Group Title

Oh sorry, I solved them for $$46$$, not $$48$$. Wait a sec.

27. AnwarA Group Title

60 boys and 40 girls :)

28. King Group Title

yea anwser is rite but i dont understand why we multiply...

29. asnaseer Group Title

the mean of the these 3 numbers: 12,14,16 is calculated as:$\frac{12+14+16}{3}=\frac{42}{3}=14$the total of those 3 numbers is: 12+14+16=42, which is the same as the mean times the number of numbers you have: 14*3=42

30. wasiqss Group Title

king u r dumb, sorry to say bt tru

31. asnaseer Group Title

so, if you are given the mean and the number of items, you can always work out the total number of items as (mean)*(number of items)

32. AnwarA Group Title

Let me explain it to you. Assume we have 5 students, and their mean is 50. We can write that as $$\large{\frac{x_1+x_2+x_3+x_4+x_5}{5}=50}$$. Now if we want to find the sum of the points that all the 5 student scored, we just multiply both sides by $$5$$ to get $$\large {x_1+x_2+x_3+x_4+x_5=5\times 50}$$. Makes sense?

33. asnaseer Group Title

sorry "the total of all the items"

34. King Group Title

oh ok thnx anwar and asnaseer thnk u very much

35. asnaseer Group Title

no problem - always glad to help