The ratio of boys to the total number of students in a school play is 7:10. There are 9 girls in the school play. How many students are in the school play?
if there are b boys and g girls,
b/(b+g) = 7/10
g = 9
so, b=21
so, there are 21+9=30 students
To find the total number of students in the school play, we need to determine the ratio between boys and the total number of students.
Given that the ratio of boys to the total number of students is 7:10, we know that there are 7 parts representing boys in the ratio and 10 parts representing the total number of students.
We are also given that there are 9 girls in the school play. Since we have this information, we can assume the number of boys and girls is equal to the number of parts represented by boys and girls in the ratio. Therefore, we have 7 parts for boys, 9 parts for girls, and 10 parts for the total number of students.
To find the value of one part, we divide the total number of girls (9) by the number of parts for girls (9 parts). This gives us 1 part.
Now that we know the value of one part, we can find the total number of students by multiplying the value of one part (1) by the total number of parts (10 parts). This will give us the total number of students in the school play.
So, 1 part (for one student) x 10 parts (for the total number of students) = 10 students.
Therefore, there are 10 students in the school play.