At Franklin School 3/8 of the students take a bus to school, 3/5 walk and the rest bike. There are 20 students who bike to school. How many students are in the school?
Let's find the fraction of students who bike to school. We know that 3/8 take the bus and 3/5 walk, so the fraction of students who bike can be calculated by subtracting the sum of these fractions from 1.
Fraction of students who bike = 1 - (3/8 + 3/5)
We can simplify this fraction by finding a common denominator for 8 and 5, which is 40.
Fraction of students who bike = 1 - (15/40 + 24/40)
= 1 - (39/40)
= 1/40
We also know that there are 20 students who bike to school, and this represents 1/40 of the total number of students in the school.
Let's find the total number of students.
Total number of students = Number of students who bike / Fraction of students who bike
Total number of students = 20 / (1/40)
To divide by a fraction, we can multiply by its reciprocal.
Total number of students = 20 * (40/1)
Total number of students = 800
Therefore, there are 800 students in the school.
To find the total number of students in the school, we need to determine the fraction of students who bike to school and then use that information to calculate the total number.
We know that 3/8 of the students take the bus and 3/5 walk to school, leaving the rest to bike. Therefore, the fraction of students who bike to school can be calculated by subtracting the sum of 3/8 (bus) and 3/5 (walk) from 1 (total students).
Fraction biking = 1 - 3/8 - 3/5
To determine the total number of students in the school, we divide the given number of students who bike (20) by the fraction that represents the students who bike.
Total students = 20 / Fraction biking
Now, let's calculate the answer:
Fraction biking = 1 - 3/8 - 3/5
= 40/40 - 15/40 - 24/40
= 1 - (15 + 24) / 40
= 1 - 39/40
= 1/40
Total students = 20 / (1/40)
= 20 * 40
= 800
Therefore, there are a total of 800 students at Franklin School.
If there are x students, then
3/8 x + 3/5 x + 20 = x
now just solve for x