The proportion of P1 and P2 students
= 1 - 1/3 - (1 - 1/3) * 2/5
= 1 - 1/3 - 4/15
= 2/5
The proportion of P1 students = 2/5 * 3/(3 + 7) = 6/50
Suppose there were x students at the school sports festival.
The number of P5 and P6 students = 1/3x
1/3x - 6/50x = 208 => 16/75x = 208
x = 975
So there were 975 students at the school sports festival.
At a school sports festival, 1/3 of the participants were P5 and P6 students. 2/5 of the remaining participants were P3 and P4 students. The rest were P1 and P2 students in the ratio of 3:7 respectively. There were 208 fewer P1 students than the total number of P5 and P6 students. How many students were there at the school sports festival?
1 answer
1 answer