1/2 of class takes Spanish and 1/4 takes Chinese. 1/3 as many take French as Spanish.
8 takes French. No students takes more than one Language. How many takes Spanish?
How many students take Chinese and how many students are in the class?
Is this correct?
French 8 ;Spanish 8x3=24 ;Chinese 12
Total class 48
correct
Thank you!!!
To find the number of students who take Spanish, we can use the given information that 1/2 of the class takes Spanish. Let's assume the number of students taking Spanish is x. Therefore, the total number of students in the class would be 2x, because half of the class takes Spanish and no students take more than one language.
Now let's calculate the number of students taking French. According to the given information, 1/3 as many students take French as Spanish. So, the number of students taking French would be (1/3) * x.
The given information also states that 8 students take French. Therefore, we can set up the equation:
(1/3) * x = 8
To solve for x, we can multiply both sides of the equation by 3:
3 * (1/3) * x = 3 * 8
x = 24
So, the number of students taking Spanish is 24.
We can now find the number of students taking Chinese. According to the given information, 1/4 of the class takes Chinese. Since half of the class takes Spanish, the remaining half minus the students taking French would be taking Chinese. Therefore, the number of students taking Chinese would be (1/2) * 2x - (1/3) * x:
(1/2) * 2x - (1/3) * x = (1/2) * 24 - (1/3) * 24
x = 12
Hence, the number of students taking Chinese is 12.
To find the total number of students in the class, we can add the number of students taking Spanish, French, and Chinese:
Total number of students = x (Spanish) + (1/3) * x (French) + 12 (Chinese)
Total number of students = 24 + 8 + 12
Total number of students = 44
Therefore, the total number of students in the class is 44.