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In Mathematics / High School | 2014-05-31

Five schools sent 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 to girls sent by this school was 1:2.

The other four schools sent only girls. Each of the five schools sent the same number of students.

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

Asked by Morgs190414

Answer (2)

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:
2 1 ​ = x 16 ​
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

Answered by Cam943 | 2024-06-10

In total, 240 students were sent to the conference, with each of the five schools sending 48 students. School A contributed 48 students (16 boys and 32 girls), while the remaining four schools sent only girls. Since all schools sent the same number of students, the calculation shows a total of 240 students attending.
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Answered by Cam943 | 2024-10-11