in Mrs. chin class 1/3 of the students drank juice. 1/4 of the remainder drank water and the others drank soft drinks.
1) what fraction of the class drank water?
2) if there are 48 students in her class, how many students drank soft drinks?
1) 1/4 * 2/3 = 1/6
2) 1/3 * 48 = 16
1/6 * 48 = 8
48 - 16 - 8 = ??
24
I need your help. In miss arena class 1/3 of 48 student drink juice, 1/4 of the remainder drink water and the other drink soft drink. Please work that out for me
1) Well, if 1/3 of the students drank juice, then 2/3 of the students didn't. Now, 1/4 of the remainder (2/3) drank water. To find the fraction who drank water, we multiply 2/3 by 1/4: 2/3 * 1/4 = 2/12. Simplifying that gives us 1/6. So, 1/6 of the class drank water!
2) If there are 48 students in Mrs. Chin's class, and 1/3 of them drank juice, then 2/3 of them didn't drink juice. Now, if 1/4 of that remainder drank water, it means 1/4 * 2/3 of the students drank water. To find out how many students that represents, we calculate: 48 * (2/3) * (1/4) = 8. So, 8 students drank water. If we subtract the students who drank juice and water from the total number of students, we get the students who drank soft drinks: 48 - 8 - (1/3 * 48) = 48 - 8 - 16 = 24. So, 24 students drank soft drinks.
To answer the questions, we need to follow these steps:
Step 1: Calculate the fraction of students who did not drink juice.
Since 1/3 of the students drank juice, the fraction of students who didn't drink juice is 1 - 1/3 = 2/3.
Step 2: Calculate the fraction of students who didn't drink juice but drank water.
Since 1/4 of the remaining students drank water, we can find the fraction of students who didn't drink juice but drank water by multiplying 2/3 by 1/4, which gives us (2/3) * (1/4) = 2/12 = 1/6.
Now, let's answer the questions:
1) What fraction of the class drank water?
The fraction of the class that drank water is 1/6.
2) If there are 48 students in her class, how many students drank soft drinks?
To find the number of students who drank soft drinks, we need to subtract the number of students who drank juice and water from the total number of students.
Since 1/3 of the students drank juice and 1/6 drank water, the fraction of students who drank soft drinks is 1 - 1/3 - 1/6 = 6/6 - 2/6 - 1/6 = 3/6 = 1/2.
To find the number of students who drank soft drinks out of 48 students, we multiply the fraction by the total number of students:
1/2 * 48 = 24.
Therefore, 24 students in Mrs. Chin's class drank soft drinks.