The weight M of an object on Mars varies directly as its weighton earth. A person who weighs 95 lb on earth weighs 38 lbs on Mars. How much would a 100 lb person weigh on Mars?
the ratio is 38/95
so, 100 * 38/95 = 40
You could also divide and find the unit rate. Then multiply that answer by 100 to find the answer.
To find out how much a 100 lb person would weigh on Mars, we can set up a proportion using the given information:
Earth weight / Mars weight = Earth weight of another person / Mars weight of another person
Let's substitute the values we know:
95 lb / 38 lb = 100 lb / x
To solve for x (the Mars weight of a 100 lb person), we can cross multiply:
95 lb * x = 38 lb * 100 lb
Multiply both sides:
95x = 3800
Now, divide both sides by 95 to solve for x:
x = 3800 / 95
Simplifying:
x = 40
Therefore, a 100 lb person would weigh 40 lbs on Mars.
To solve this problem, we need to set up a proportion using the given information.
Let's say the weight of an object on Mars is M, and its weight on Earth is E. We are given that the weight of a person who weighs 95 lb on Earth is 38 lbs on Mars.
Using these values, we can set up a proportion:
E (weight on Earth) / M (weight on Mars) = 95 lb / 38 lb
Now, we can solve for the weight on Mars (M) when the weight on Earth (E) is 100 lb.
E / M = 95 / 38
Substituting E = 100 lb:
100 / M = 95 / 38
Cross-multiplying gives us:
95M = 100 * 38
Simplifying:
95M = 3800
Dividing both sides by 95, we get:
M = 3800 / 95
M = 40
Therefore, a person who weighs 100 lb on Earth would weigh 40 lbs on Mars.