The ratio of boys to girls in grade 8 at Rabinson Middle School is 5:7. If there are 600 students in grade 8, how many are girls?
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Since the ratio of grade 8 boys and girls in Rabinson Middle School is 5:7 and the total amount of grade 8 student is 600 we can say that 5:7=600.
Let x be the number of grade 8 male and female students of Rabinson Middle school. Since there are 5 boys in every 7 girls and the total number of grade 8 students is 600, we can write it as;
> 5x + 7x =600
> 12x =600
> 12x/12 =600/12
> x = 50
Substitute the value of x;
> 5x + 7x =600
> 5(50) + 7(50)=600
> 250 + 350 =600
> 600 =600
Since it is true that the value of x is 50, the ratio 5(x) : 7(x) is also true.
Therefore, the number of grade 8 girls in Rabinson Middle School is 350.