Students with Honors

In the year's first half, 20% of the 8 A class students had honors. At the end of the year, 3 more students joined them, and a total of 32% of the students received the distinction. How many pupils went to 8 A?

Final Answer:

n =  25

Step-by-step explanation:

$$\begin{gathered} r_1=20\%=\frac{20}{100}=\frac{1}{5}=0.2 \\ {r}_2=32\%=\frac{32}{100}=\frac{8}{25}=0.32 \\ {r}_1\cdot n+3=r_2\cdot n \\ 0.2\cdot n+3=0.32\cdot n \\ 0.12n=3 \\ n=\frac{3}{0.12}=25 \\ n=25 \end{gathered}$$

Try another example