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An astronaut weighs 170 pounds on Earth but only 68 pounds on Mars. While visiting the planet, the astronaut removes a rock sample that weighs 25 pounds on Mars.
What is the weight of the rock sample on Earth?
Help me solve.


a. 0.22
b. 4
c. 0.5
d. not enough info.

Respuesta :

meerkat18
The ratio of the man's weights on Earth and Mars should be equal to the ratio of the rocks weight on Earth and Mars. By letting x be the stone's weight on Earth, the equation that best describe the condition is,
                      (170 pounds / 68 pounds) = (x pounds / 25 pounds)
The value of x is 62.5 pounds. If the units of the choices in the pounds then, it is not among the choices. 
JeanaShupp

Answer: 62.5 pounds

Step-by-step explanation:

Given: An astronaut weighs 170 pounds on Earth but only 68 pounds on Mars.

The weight of the rock sample on Mars = 25 pounds

Since the  "Weight of object on Mars"is directly proportional to "Weight of object on Earth".

[tex]\Rightarrow\ \dfrac{\text{Weight of rock sample on Earth }}{\text{Weight of rock sample on Mars}}=\dfrac{\text{Weight of astronaut on Earth}}{\text{Weight of astronaut on Mars}}\\\\\\\Rightarrow\ \dfrac{\text{Weight of rock sample on Earth }}{25}=\dfrac{170}{68}\\\\\\\Rightarrow\ \text{Weight of rock sample on Earth }=\dfrac{170\times25}{68}=62.5[/tex]

Hence, the eight of the rock sample on Earth = 62.5 pounds

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