A college writing seminar increased its size by 50% from the first to the second day. If the total number of students in the seminar on the second day was 15 , how many students were in the class on the first day?Choose 1 answer:(A) 8(B) 10(C) 23(D) 30
Q. A college writing seminar increased its size by 50% from the first to the second day. If the total number of students in the seminar on the second day was 15 , how many students were in the class on the first day?Choose 1 answer:(A) 8(B) 10(C) 23(D) 30
Denoting the number of students: Let's denote the number of students on the first day as x. According to the problem, the class size increased by 50% from the first day to the second day. This means that the number of students on the second day is 1.5 times the number of students on the first day.Mathematically, this can be expressed as:Number of students on the second day = x+(50% of x)=x+0.5x=1.5xWe are given that the number of students on the second day is 15.So, we can set up the equation:1.5x=15
Expressing the number of students on the second day: Now, we need to solve for x to find out how many students were there on the first day.Divide both sides of the equation by 1.5 to isolate x:x=1.515
Setting up the equation: Perform the division to find the value of x:x=210This means there were 10 students in the class on the first day.
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