Sure, let’s break it down step by step.
1. Understanding the Problem:
- The student wants to have 20% of his assignments completed by Wednesday.
- By Wednesday, the student has completed 5 assignments.
- We need to find the total number of assignments he needs to complete.
2. Translating the Given Information into Mathematical Terms:
- Let [tex]\( x \)[/tex] be the total number of assignments.
- 20% of [tex]\( x \)[/tex] (which is [tex]\( 0.20 \times x \)[/tex]) is the portion of the total assignments the student aims to complete by Wednesday.
- We know that [tex]\( 0.20 \times x \)[/tex] equals 5, because the student has completed 5 assignments by Wednesday.
3. Setting Up the Equation:
- The equation based on the given information is:
[tex]\[
0.20 \times x = 5
\][/tex]
4. Solving the Equation:
- To find [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the equation.
- We do this by dividing both sides of the equation by 0.20.
[tex]\[
x = \frac{5}{0.20}
\][/tex]
5. Calculating the Total Number of Assignments:
- When we perform the division:
[tex]\[
x = 25
\][/tex]
Therefore, the total number of assignments the student has to complete is 25.
