College

The ratio of an object's weight on Earth to its weight on Neptune is [tex]$5:7$[/tex]. How much would a person who weighs 150 pounds on Earth weigh on Neptune?

A) [tex]$107 \frac{1}{7}$[/tex] pounds
B) 210 pounds
C) 750 pounds
D) 170 pounds

Answer :

Given the ratio of an object's weight on Earth to its weight on Neptune is
[tex]$$5:7,$$[/tex]
we know that for every 5 units of weight on Earth, the weight on Neptune is 7 units. This can be interpreted as finding the weight on Neptune by multiplying the Earth weight by the conversion factor [tex]$\frac{7}{5}$[/tex].

For a person who weighs 150 pounds on Earth, the weight on Neptune, denoted as [tex]$W_N$[/tex], is calculated as follows:

[tex]$$
W_N = 150 \times \frac{7}{5}.
$$[/tex]

First, compute the conversion factor:

[tex]$$
\frac{7}{5} = 1.4.
$$[/tex]

Now multiply the Earth weight by this factor:

[tex]$$
W_N = 150 \times 1.4 = 210.
$$[/tex]

Thus, a person who weighs 150 pounds on Earth would weigh 210 pounds on Neptune.

The correct answer is [tex]$\boxed{210}$[/tex] pounds.