Mr. Franklin asked each of his 30 students to select their favorite radio station. 1/3 of the students chose station k. 1/5 of the students chose station l. the remaining students chose station m. How many students chose station M as their favorite radio.
A. 10
B. 14******
C. 6
D. 4
1/3 * 30 = 10
1/5 * 30 = 6
30 - 16 = 14
Yes, 14.
Thank you but can you write how you solved it to make sure I got that right
Thank you very much and I got the problem right
Great! And you're welcome.
To answer this question, we need to find out how many students chose station M as their favorite radio.
We are given that 1/3 of the students chose station K and 1/5 of the students chose station L. This means that the remaining students, who didn't choose station K or station L, chose station M.
To find the number of students who chose station M, we first need to find the number of students who chose station K and station L.
1/3 of the students chose station K. We can find this number by multiplying the total number of students by 1/3:
Number of students who chose station K = 1/3 * 30 = 10
1/5 of the students chose station L. We can find this number by multiplying the total number of students by 1/5:
Number of students who chose station L = 1/5 * 30 = 6
Now, we can find the number of students who chose station M by subtracting the number of students who chose station K and station L from the total number of students:
Number of students who chose station M = Total number of students - Number of students who chose station K - Number of students who chose station L
= 30 - 10 - 6
= 14
Therefore, the correct answer is B. 14.