Question

Seventy pupils (37 boys and 33 girls) are divided into two groups, with forty pupils in Group I and thirty pupils in Group II. How many more boys are there in Group I than there are girls in Group II?

Answer 1

To find the difference between the number of boys in Group I and the number of girls in Group II, we need to calculate the number of boys in Group I and the number of girls in Group II. The difference is 7 more boys in Group I.

Step-by-step explanation:

To find the difference between the number of boys in Group I and the number of girls in Group II, we first need to determine how many boys are in each group. Group I has 40 pupils, so we can calculate the number of boys by multiplying the total number of pupils in Group I (40) by the fraction of boys in the whole sample (37/70):

Boys in Group I = (40) x (37/70) = 20.714

Since we can't have a fraction of a student, we round this number to the nearest whole number, which is 21. So, there are 21 boys in Group I.

Next, we determine the number of girls in Group II. Group II has 30 pupils, so we can calculate the number of girls by multiplying the total number of pupils in Group II (30) by the fraction of girls in the whole sample (33/70):

Girls in Group II = (30) x (33/70) = 14.143

Rounding this number to the nearest whole number, we find that there are 14 girls in Group II.

Finally, we find the difference between the number of boys in Group I and the number of girls in Group II:

Difference = Boys in Group I - Girls in Group II = 21 - 14 = 7

Therefore, there are 7 more boys in Group I than there are girls in Group II.

Answer 2

7 more boys

Step-by-step explanation:

Given

`Total = 70`

`Boys = 37`

`Girls = 33`

`Group\ 1 = 40`

`Group\ 2 = 30`

Required

Number of more boys than girls in group 2

Represent the number of boys in group 1 with B and the number of girls with G.

So:

`B + G = 40`

Make G the subject

`G = 40 - B`

The number of girls in group 2 will be:

Total number of girls (33) - number of girls in group 1(40 - B)

So, we have:

`Group\ B\ Girls = 33 -(40 - B)`

`Group\ B\ Girls = 33 -40 + B`

`Group\ B\ Girls = -7 + B`

`Group\ B\ Girls = B-7`

This means that there are 7 more boys than girls