Answer:
47 pounds
Step-by-step explanation:
Given
Direct Variation:
Weight on Mars = 60 when Weight on Earth = 180
Required
Determine the Weight on Mars, if weight on earth is 141
Let M represents Mars and E represents Earth.'
Since, it is a direct variation;
![M \alpha\ E](https://tex.z-dn.net/?f=M%20%5Calpha%5C%20E)
Convert to an equation
![M =kE](https://tex.z-dn.net/?f=M%20%3DkE)
Where k is the variation constant.
Substitute 60 for M and 180 for E
![60 = k * 180](https://tex.z-dn.net/?f=60%20%3D%20k%20%2A%20180)
Solve for k
![k = \frac{60}{180}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B60%7D%7B180%7D)
![k = \frac{1}{3}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B1%7D%7B3%7D)
To solve for M when E = 141, we have:
![M =kE](https://tex.z-dn.net/?f=M%20%3DkE)
![M = \frac{1}{3} * 141](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%2A%20141)
![M = \frac{141}{3}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B141%7D%7B3%7D)
![M = 47](https://tex.z-dn.net/?f=M%20%3D%2047)