A teacher packed diaries for students of four sections and wrote the number of students in section on each box as shown below. □ 35 □ 42 □43 □ 50 •The difference between section P and the largest section is 8 students. • The total number of students in sections Q and R is the SAME as the total number of students in sections P and S. How many students does section S have? A. 35 B. 42 C. 43 D. 50
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Answer:
Let's analyze the given information and try to solve the problem step by step.
1. The difference between section P and the largest section is 8 students.
Let's assume the largest section has x students. According to the information, section P has x - 8 students.
2. The total number of students in sections Q and R is the SAME as the total number of students in sections P and S.
Let's assume the number of students in section Q is y and the number of students in section R is z. According to the information, y + z = (x - 8) + s, where s represents the number of students in section S.
Now, we need to find the value of s (the number of students in section S).
We have the following equations:
x = Largest section
P = x - 8
Q = y
R = z
S = s
Also, y + z = (x - 8) + s
Given the values provided in the question, we can substitute them into the equation:
35 + 42 + 43 + 50 = (x - 8) + s
170 = x - 8 + s
Now, let's analyze the answer choices:
A. 35
B. 42
C. 43
D. 50
Since the sum of the answer choices is greater than 170, we can conclude that section S must have the value that brings the equation closest to 170.
By trying different options, we find that if section S has 35 students, the equation becomes:
170 = x - 8 + 35
170 = x + 27
x = 143
Therefore, the largest section has 143 students, and section S has 35 students.
The answer is A. 35.
Step-by-step explanation:
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Answer:
35 is the answer
Step-by-step explanation:
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