A person who weighs 100 pounds on Earth would weigh

37 7/10 pounds on Mars. If m represents a person’s weight in pounds, on Mars, which proportion could you solve to determine the weight on Mars of a person who weighs 160 2/5 on Earth?

since the ratio marsweight:earthweight is constant,

x/(160 2/5) = (37 7/10)/100

oobleck your the coolest

37.7/100 = m/160.4

To determine the weight on Mars of a person who weighs 160 2/5 pounds on Earth, we can set up a proportion using the given information.

Let's call the weight on Mars "w".

From the given information:

Weight on Earth = 100 pounds
Weight on Mars = 37 7/10 pounds

We can set up the proportion as follows:
100 pounds (Earth) is to 37 7/10 pounds (Mars) as 160 2/5 pounds (Earth) is to w (Mars).

Mathematically, this looks like:
100 / (37 7/10) = (160 2/5) / w

To solve for "w", we can cross-multiply and solve the resulting equation:
(100) * (w) = (37 7/10) * (160 2/5)

Simplifying both sides of the equation, we get:
100w = (377/10) * (802/5)

To multiply fractions, we multiply the numerators and denominators:
100w = (377 * 802) / (10 * 5)

100w = 302254 / 50

Now, we can divide both sides by 100 to isolate "w":
w = (302254 / 50) / 100

Simplifying further:
w = 3022.54 / 500

w = 6.04508

Therefore, a person who weighs 160 2/5 pounds on Earth would weigh approximately 6.04508 pounds on Mars.