Question

5 schools sent some students to a conference.

One of the schools sent both boys and girls.
This school sent 16 boys.
The ratio of the number of boys it sent to the number of girls it sent was 1 : 2

The other 4 schools sent only girls.
Each of the 5 schools sent the same number of students.

Work out the total number of students sent to the conference by these 5 schools.

Answer 1

Call the first school "School A." Call the rest of the schools "School B, School C, School D, and school E."

The ratio of boys to girls in school A is 1:2. Therefore:


`(1)/(2)=(16)/(x)`

Solving for x in that equation gives us 32 girls. Therefore, School A sent 48 kids in all.

School B - E have the same numbers. Therefore, the number of students sent to the conference is
`48 x 5`. Therefore, 240 kids attended the conference.

Hope that helped!

~Cam943, Moderator