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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

A college writing seminar increased its size by 50% 50 \% from the first to the second day. If the total number of students in the seminar on the second day was 1515 , how many students were in the class on the first day?\newlineChoose 11 answer:\newline(A) 88\newline(B) 10 \mathbf{1 0} \newline(C) 2323\newline(D) 3030

Full solution

Q. A college writing seminar increased its size by 50% 50 \% from the first to the second day. If the total number of students in the seminar on the second day was 1515 , how many students were in the class on the first day?\newlineChoose 11 answer:\newline(A) 88\newline(B) 10 \mathbf{1 0} \newline(C) 2323\newline(D) 3030
  1. Denoting the number of students: Let's denote the number of students on the first day as xx. According to the problem, the class size increased by 50%50\% from the first day to the second day. This means that the number of students on the second day is 1.51.5 times the number of students on the first day.\newlineMathematically, this can be expressed as:\newlineNumber of students on the second day = x+(50% of x)=x+0.5x=1.5xx + (50\% \text{ of } x) = x + 0.5x = 1.5x\newlineWe are given that the number of students on the second day is 1515.\newlineSo, we can set up the equation:\newline1.5x=151.5x = 15
  2. Expressing the number of students on the second day: Now, we need to solve for xx to find out how many students were there on the first day.\newlineDivide both sides of the equation by 1.51.5 to isolate xx:\newlinex=151.5x = \frac{15}{1.5}
  3. Setting up the equation: Perform the division to find the value of xx:x=102x = \frac{\text{10}}{\text{2}}This means there were 1010 students in the class on the first day.

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