Question

A person 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?

Answer 1

The proportion we can use is:

m/ 160 2/5 = 37 7/10 /100

The weight on Mars of a person is 60.4708

Explanation:

If a person weighs 100 pounds on earth would weigh 37 7/10 pounds on mars.

We can write it as:

37 7/10 / 100

Now m represents a person's weight on Mars if a person weighs 160 2/5 on earth.

Write it as:

m / 160 2/5

In proportion we can write it as:

37 7/10 /100 = m/ 160 2/5

OR

m/ 160 2/5 = 37 7/10 /100

Now to solve for m first change the whole fractions into improper fraction.

m/802/5 = 377/10/100

m/ 160.4 = 37.7/100

Now perform cross multiplication:

100m = 37.7 * 160.4

100m = 6047.08

Divide both sides by 100

100m/100= 6047.08/100

m = 60.4708

The weight on Mars of a person is 60.4708...

Answer 2

Answer: Option A

Explanation:

We call m the weight of a person on Mars.

We know that a person weighs 100 pounds on Earth would weigh 37 7/10 pounds on Mars.

Then we use this data as a conversion factor.
`(37(7)/(10)\ pounds)/(100\ pounds)`

We seek to determine the weight on Mars of a person who weighs 160 2/5 on earth

Then we solve the following operation:

`weigh\ on\ Earth *(weigh\ on\ Mars)/(weigh\ on\ Earth)=m`

This is:

`160(2)/(5) *(37(7)/(10)\ pounds)/(100\ pounds)=m`

Now multiply by
`(1)/(160(2)/(5))` on both sides of equality

`(m)/(160(2)/(5))=(37(7)/(10)\ pounds)/(100\ pounds)\\\\`

The answer is the option A