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Answer :
To solve the problem, we need to determine how much a person who weighs 150 pounds on Earth would weigh on Neptune, given the ratio of their weights on the two planets is 5:7.
Here's how you can approach this:
1. Understand the Ratio: The ratio of the weight on Earth to the weight on Neptune is 5:7. This means that for every 5 units of weight on Earth, it's equivalent to 7 units on Neptune.
2. Set Up the Proportion: To find the weight on Neptune, you can set up a proportion where 5 parts of weight on Earth corresponds to 7 parts of weight on Neptune. Since the weight on Earth is 150 pounds, the equation can be set up as follows:
[tex]\[
\frac{5}{7} = \frac{150}{x}
\][/tex]
Here, [tex]\( x \)[/tex] represents the unknown weight on Neptune.
3. Solve the Proportion: Cross-multiply to solve for [tex]\( x \)[/tex].
[tex]\[
5 \times x = 7 \times 150
\][/tex]
[tex]\[
5x = 1050
\][/tex]
4. Isolate [tex]\( x \)[/tex]: Divide both sides by 5 to solve for [tex]\( x \)[/tex].
[tex]\[
x = \frac{1050}{5}
\][/tex]
[tex]\[
x = 210
\][/tex]
Therefore, a person who weighs 150 pounds on Earth would weigh 210 pounds on Neptune. The correct answer is D. 210 pounds.
Here's how you can approach this:
1. Understand the Ratio: The ratio of the weight on Earth to the weight on Neptune is 5:7. This means that for every 5 units of weight on Earth, it's equivalent to 7 units on Neptune.
2. Set Up the Proportion: To find the weight on Neptune, you can set up a proportion where 5 parts of weight on Earth corresponds to 7 parts of weight on Neptune. Since the weight on Earth is 150 pounds, the equation can be set up as follows:
[tex]\[
\frac{5}{7} = \frac{150}{x}
\][/tex]
Here, [tex]\( x \)[/tex] represents the unknown weight on Neptune.
3. Solve the Proportion: Cross-multiply to solve for [tex]\( x \)[/tex].
[tex]\[
5 \times x = 7 \times 150
\][/tex]
[tex]\[
5x = 1050
\][/tex]
4. Isolate [tex]\( x \)[/tex]: Divide both sides by 5 to solve for [tex]\( x \)[/tex].
[tex]\[
x = \frac{1050}{5}
\][/tex]
[tex]\[
x = 210
\][/tex]
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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