Answer
1. **Calculations:**
a. The number is **25**.
b. \( x = 2000 \).
c. The number is **120**.
d. The number is **275**.
2. The man's full salary is **21,000** Birr.
3. There are **50** students in the class.
Solution
Solve the equation by following steps:
- step0: Solve for \(x\):
\(0.4x=110\)
- step1: Divide both sides:
\(\frac{0.4x}{0.4}=\frac{110}{0.4}\)
- step2: Divide the numbers:
\(x=275\)
Solve the equation \( 0.36x=18 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(0.36x=18\)
- step1: Divide both sides:
\(\frac{0.36x}{0.36}=\frac{18}{0.36}\)
- step2: Divide the numbers:
\(x=50\)
Solve the equation \( 0.15x=18 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(0.15x=18\)
- step1: Divide both sides:
\(\frac{0.15x}{0.15}=\frac{18}{0.15}\)
- step2: Divide the numbers:
\(x=120\)
Solve the equation \( 0.24x=6 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(0.24x=6\)
- step1: Divide both sides:
\(\frac{0.24x}{0.24}=\frac{6}{0.24}\)
- step2: Divide the numbers:
\(x=25\)
Solve the equation \( 0.35x=700 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(0.35x=700\)
- step1: Divide both sides:
\(\frac{0.35x}{0.35}=\frac{700}{0.35}\)
- step2: Divide the numbers:
\(x=2000\)
Solve the equation \( 0.3x=6300 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(0.3x=6300\)
- step1: Divide both sides:
\(\frac{0.3x}{0.3}=\frac{6300}{0.3}\)
- step2: Divide the numbers:
\(x=21000\)
Here are the detailed solutions for each part of your problem:
1. **Calculating the unknown numbers:**
a. **6 is \( 24\% \) of a number, what is the number?**
\[
0.24x = 6 \implies x = \frac{6}{0.24} = 25
\]
The number is **25**.
b. **If Birr 700 is \( 35\% \) of Birr \( x \), then what is the value of \( x \)?**
\[
0.35x = 700 \implies x = \frac{700}{0.35} = 2000
\]
The value of \( x \) is **2000**.
c. **If \( 15\% \) of a number is 18, then what is the number?**
\[
0.15x = 18 \implies x = \frac{18}{0.15} = 120
\]
The number is **120**.
d. **\( 40\% \) of a number is 110, what is the number?**
\[
0.4x = 110 \implies x = \frac{110}{0.4} = 275
\]
The number is **275**.
2. **If \( 30\% \) of a man's salary is Birr 6300, what is the amount of his full salary?**
\[
0.3x = 6300 \implies x = \frac{6300}{0.3} = 21000
\]
The amount of his full salary is **21000**.
3. **In a class where the number of boys is \( 36\% \) of the total number of students, and there are 18 boys, how many students are there in the class?**
\[
0.36x = 18 \implies x = \frac{18}{0.36} = 50
\]
The total number of students in the class is **50**.
These calculations provide the answers to all parts of your problem.
Answered by UpStudy AI and reviewed by a Professional Tutor
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