There are two examinations rooms C and D. If 10 students are sent from C to D, then the number of students in each room is the same. If 20 candidates are sent from D to C, then the number of students in C is thrice the number of students in D. The number of students in room C is:Question 20Answera.70b.60c.100d.50
Question
There are two examinations rooms C and D. If 10 students are sent from C to D, then the number of students in each room is the same. If 20 candidates are sent from D to C, then the number of students in C is thrice the number of students in D. The number of students in room C is:Question 20Answera.70b.60c.100d.50
Solution
Let's denote the number of students in room C as x and the number of students in room D as y.
From the problem, we have two equations:
-
x - 10 = y + 10 (If 10 students are sent from C to D, then the number of students in each room is the same)
-
x + 20 = 3 * (y - 20) (If 20 candidates are sent from D to C, then the number of students in C is thrice the number of students in D)
Now, we can solve these two equations to find the values of x and y.
From equation 1, we can express y in terms of x: y = x - 20.
Substitute y = x - 20 into equation 2:
x + 20 = 3 * ((x - 20) - 20)
x + 20 = 3 * (x - 40)
x + 20 = 3x - 120
2x = 140
x = 70
So, the number of students in room C is 70. Therefore, the answer is a.70.
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