# GCSE Maths Questions Help

Question 1: A shop employs 8 men and 2 women. The mean weekly wage of the 10 employees is £396. The mean weekly wage of the 8 men is £400. Calculate the mean weekly wage of the 2 women.

Question 2: Solve 2/x + 3/2x = 1/3

Question 3: The ages of five children are..... 2,4,5,6,8. The mean age is 5 yeasr. Calculate the std deviation of the five ages.

Question 4: There are 12 boys and 15 girls in a class. In a test the mean mark for the boys is n. In the same test the mean mark for the girls is m. Work out an expression for the mean mark of teh whole class of 27 students.

Thanks in advance, just want to get these questions sorted out before my exam!
koldtoast
Hello

Dunno where that UKL Maths society thread disappeared to and I have some maths questions I can't solve so I'll just post it here.

Question 1: A shop employs 8 men and 2 women. The mean weekly wage of the 10 employees is £396. The mean weekly wage of the 8 men is £400. Calculate the mean weekly wage of the 2 women.

£380 each for the women.

Question 2: Solve 2/x + 3/2x = 1/3

x=10r1r2

Question 3: The ages of five children are..... 2,4,5,6,8. The mean age is 5 yeasr. Calculate the std deviation of the five ages.

Can't be bothered

Question 4: There are 12 boys and 15 girls in a class. In a test the mean mark for the boys is n. In the same test the mean mark for the girls is m. Work out an expression for the mean mark of teh whole class of 27 students.

(12n+15m)/27

Thanks in advance, just what to get these questions sorted out before my exam!
Bhaal85

Thanks for the answers, but can you show me your working though, so I can see how you did it?
koldtoast
Thanks for the answers, but can you show me your working though, so I can see how you did it?

Question 1: A shop employs 8 men and 2 women. The mean weekly wage of the 10 employees is £396. The mean weekly wage of the 8 men is £400. Calculate the mean weekly wage of the 2 women.

8*40 = 3200 total that 8 men earn.
10*396 = 3960 total that 10 eomployees earn

3960 - 3200 = 760 left over for the 2 women, therefore the earn a mean of 760/2 = 380

Question 2: Solve 2/x + 3/2x = 1/3

Can be rewritten as 1/x * (2+3/2) = 1/3 which is 1/x * (3r1r2) = 1/3

1/x = (1/3)/(3r1r2) which gives 2/21

1/x=2/21 multipy through by x and rearrange to get x on its own.

Question 3: The ages of five children are..... 2,4,5,6,8. The mean age is 5 yeasr. Calculate the std deviation of the five ages.

Can't be arsed.

Question 4: There are 12 boys and 15 girls in a class. In a test the mean mark for the boys is n. In the same test the mean mark for the girls is m. Work out an expression for the mean mark of teh whole class of 27 students.

Mean = Total/number therefore Total = mean*number:

12 boys with mean mark of 'n', therefore the sum of all their marks are 12n, similiarly for the girls. 12n and 15m divide by the total of 27 giving the mean of all of them.
Right thanks I'm sorted now