Percent on a Number Line worksheet with problems to find percentages and mark them on a number line.

Problem Analysis:

The image contains a worksheet titled "Percent on a Number Line." The task involves solving several problems related to percentages and their representation on a number line. Below, I will solve each problem step by step and explain the solution.

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Problem 1: What is 20% of 35?

#### Solution:
To find 20% of 35:
1. Convert the percentage to a decimal:
\( 20\% = \frac{20}{100} = 0.20 \)
2. Multiply the decimal by the number:
\( 0.20 \times 35 = 7 \)

#### Answer:
\[ \boxed{7} \]

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Problem 2: What percent of 60 amounts to 48?

#### Solution:
We need to find the percentage (\( x \)) such that \( x\% \) of 60 equals 48.
1. Set up the equation:
\( \frac{x}{100} \times 60 = 48 \)
2. Solve for \( x \):
\[
\frac{x}{100} \times 60 = 48
\]
\[
x \times 60 = 48 \times 100
\]
\[
x \times 60 = 4800
\]
\[
x = \frac{4800}{60}
\]
\[
x = 80
\]

#### Answer:
\[ \boxed{80\%} \]

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Problem 3: 45 is 25% of what number?

#### Solution:
We need to find the number (\( y \)) such that 25% of \( y \) equals 45.
1. Set up the equation:
\( \frac{25}{100} \times y = 45 \)
2. Simplify the fraction:
\( 0.25 \times y = 45 \)
3. Solve for \( y \):
\[
y = \frac{45}{0.25}
\]
\[
y = 180
\]

#### Answer:
\[ \boxed{180} \]

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Problem 4: What is 120% of 97?

#### Solution:
To find 120% of 97:
1. Convert the percentage to a decimal:
\( 120\% = \frac{120}{100} = 1.20 \)
2. Multiply the decimal by the number:
\( 1.20 \times 97 = 116.4 \)

#### Answer:
\[ \boxed{116.4} \]

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Problem 5: What is 25% of 2007?

#### Solution:
To find 25% of 2007:
1. Convert the percentage to a decimal:
\( 25\% = \frac{25}{100} = 0.25 \)
2. Multiply the decimal by the number:
\( 0.25 \times 2007 = 501.75 \)

#### Answer:
\[ \boxed{501.75} \]

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Final Answers:

1. \( \boxed{7} \)
2. \( \boxed{80\%} \)
3. \( \boxed{180} \)
4. \( \boxed{116.4} \)
5. \( \boxed{501.75} \)

These solutions are derived using basic percentage formulas and arithmetic operations. Each step is explained clearly to ensure understanding.