176k views
11 votes
3/4 of pupils in a Computer Club are boys. 4/5 of the girls in the Computer

Club are in Primary 6.
(a) What fraction of the pupils in the Club are Primary 6 girls?
(b) There are 6 girls in the Computer Club that are not from Primary 6.
How many pupils are there in the Computer Club?

User Dan Kelly
by
4.5k points

1 Answer

3 votes

Answer:

a) 1/5 are Primary 6 girls

b) 120 Computer Club pupils

Explanation:

For problems like this, we assume the designated groups are one of two groups: (boys, girls), (Primary 6, Not Primary 6). That means the fractions in each group total 1.

3/4 are boys means 1-3/4 = 1/4 are girls.

a)

If 4/5 of the girls are Primary 6, then (4/5)(1/4) = 1/5 of all club pupils are Primary 6 girls

__

b)

1-4/5 = 1/5 of the girls in the club are not Primary 6 girls. 1/4 of the club members are girls, so the fraction of club members who are not Primary 6 girls is ...

(1/5)(1/4) = 1/20 . . . . club pupils who are girls not from Primary 6

This fraction is 6 girls, so the total number of club pupils is ...

20×6 = 120 . . . pupils in the computer club

User Ashique
by
4.3k points