Question

There are 870 boys and 800 girls in a school

The probability that a boy chosen at random studies Spanish is 2 thirds the probability that a girl chosen at random studies Spanish is three fifths. Work out the number of students in the school who study Spanish

Answer 1

1060

Explanation:

Given:

No. of boys = 870

No. of girls = 800

Probability that a boy chosen studies Spanish =
`(2)/(3)`

Probability that a girl chosen studies Spanish =
`(3)/(5)`

the number of boys in the school who study Spanish :

`(2)/(3)* 870=290* 2=580`

the number of girls in the school who study Spanish :

`(3)/(5)* 800 \\=3* 160\\\\=480`

Therefore, total number of students who study Spanish would be :

480+580=1060