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.