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Answer :
To solve the problem of finding out how much a person who weighs 150 pounds on Earth would weigh on Neptune, given the ratio of their weights on Earth to Neptune as [tex]\(5:7\)[/tex], you can follow these steps:
1. Understand the Ratio: The weight on Earth to the weight on Neptune is given as [tex]\(5:7\)[/tex]. This means that for every 5 units of weight on Earth, there are 7 units of weight on Neptune.
2. Set Up the Proportion: Since 150 pounds is the weight on Earth, let's set up the proportion based on the given ratio. We'll let [tex]\(x\)[/tex] be the weight on Neptune.
[tex]\[
\frac{150}{x} = \frac{5}{7}
\][/tex]
3. Cross-Multiply to Solve for [tex]\(x\)[/tex]:
[tex]\[
5 \times x = 7 \times 150
\][/tex]
4. Calculate the Weight on Neptune: Simplify and solve the equation.
[tex]\[
5x = 1050
\][/tex]
[tex]\[
x = \frac{1050}{5} = 210
\][/tex]
5. Conclusion: Therefore, a person who weighs 150 pounds on Earth would weigh 210 pounds on Neptune.
The correct answer is D) 210 pounds.
1. Understand the Ratio: The weight on Earth to the weight on Neptune is given as [tex]\(5:7\)[/tex]. This means that for every 5 units of weight on Earth, there are 7 units of weight on Neptune.
2. Set Up the Proportion: Since 150 pounds is the weight on Earth, let's set up the proportion based on the given ratio. We'll let [tex]\(x\)[/tex] be the weight on Neptune.
[tex]\[
\frac{150}{x} = \frac{5}{7}
\][/tex]
3. Cross-Multiply to Solve for [tex]\(x\)[/tex]:
[tex]\[
5 \times x = 7 \times 150
\][/tex]
4. Calculate the Weight on Neptune: Simplify and solve the equation.
[tex]\[
5x = 1050
\][/tex]
[tex]\[
x = \frac{1050}{5} = 210
\][/tex]
5. Conclusion: Therefore, a person who weighs 150 pounds on Earth would weigh 210 pounds on Neptune.
The correct answer is D) 210 pounds.
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