To solve the problem of determining how many students completed their Mathematics homework, let’s break down the given information and find the solution step-by-step.
1. Total number of students in the class: 30
2. Fraction of students who came without completing their Mathematics homework: [tex]\(\frac{3}{5}\)[/tex]
3. Calculate the number of students who did not complete their homework:
This can be found by multiplying the total number of students by the fraction that did not do their homework:
[tex]\[
\text{Number of students without homework} = 30 \times \frac{3}{5}
\][/tex]
4. Number of students without completing their Mathematics homework:
[tex]\[
30 \times \frac{3}{5} = 18
\][/tex]
So, 18 students did not complete their homework.
5. Determine the number of students who completed their homework:
To find the number of students who completed their homework, we subtract the number of students who did not complete their homework from the total number of students:
[tex]\[
\text{Number of students with homework} = 30 - 18
\][/tex]
6. Final step: Calculate the number of students who completed their homework:
[tex]\[
30 - 18 = 12
\][/tex]
Therefore, on that day, 12 students had completed their Mathematics homework.
