A class "S" has a total of 40 students, with the ratio between boys and girls is 3 : 2

The ratio between the girls that join the choir, the girls that join the orchestra, the girls that join the soccer team and the girls that join the journalistic extracurricular is 1 : 3 : 2 : 2

And, the ratio between the boys that loves to play soccer, the boys that loves to play basketball, and the boys that loves to play computers is 4 : 3 : 1

A. What is the ratio between the girls that join the soccer team and the boys that loves to play soccer?

B. How many girls from class S that join the orchestra?

Question

Raphael Ferguson

Mathematics

29 January, 16:44

A class "S" has a total of 40 students, with the ratio between boys and girls is 3 : 2

The ratio between the girls that join the choir, the girls that join the orchestra, the girls that join the soccer team and the girls that join the journalistic extracurricular is 1 : 3 : 2 : 2

And, the ratio between the boys that loves to play soccer, the boys that loves to play basketball, and the boys that loves to play computers is 4 : 3 : 1

A. What is the ratio between the girls that join the soccer team and the boys that loves to play soccer?

B. How many girls from class S that join the orchestra?

+2

Answers (1)

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Livia Shah · Answer 1

So, if the ratio of girls to boys is 3:2 (imagine this: 3 and 2 groups of equal number, that's 5 groups and then each group will have 40/5=8 people), so there are 3*8=24 boys and 2*8=16 girls.

1 : 3 : 2 : 2

this ratio means dividing the girls into 1+3+2+2=8 groups of 2, so the actual numbers are:

2:6:4:4

4 : 3 : 1 this ratio means dividing the boys into 4+3+1=8 groups of 3, so the actual numbers are:

12:9:1

A. we know the actual numbers: 4 girls and 12 boys, so the ratio is 4:12, or simplifying: 1:3

B: look here: 2:6:4:4

only 2 girls like orchestra