There were 10 boys and 16 girls in the Trailridge Middle School science club last year. This year, the number of boys increased by 20% and the number of girls increased by 25%. How many students are in the club this year?

Question

students

Answer 1

To find the number of boys and girls in the Trailridge Middle School science club this year, we will first calculate the number of boys and girls separately based on their respective percentage increases.

1. Calculating the increase in the number of boys:

   • Last year, there were 10 boys.
   • The number of boys increased by 20%.
   • Increase in the number of boys = 20% of 10 = \( 0.20 \times 10 = 2 \).
   • Therefore, this year, the number of boys = \( 10 + 2 = 12 \).

2. Calculating the increase in the number of girls:

   • Last year, there were 16 girls.
   • The number of girls increased by 25%.
   • Increase in the number of girls = 25% of 16 = \( 0.25 \times 16 = 4 \).
   • Therefore, this year, the number of girls = \( 16 + 4 = 20 \).

3. Calculating the total number of students this year:

   • Total students this year = Number of boys + Number of girls
   • Total students this year = \( 12 + 20 = 32 \).

Thus, the total number of students in the club this year is 32.