Question

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

Answer 1

See a solution process below:

Explanation:

Let's call the weight the person would have on Neptune: `w`

We can then write and solve this equation:

`5/7 = 150/w`

Because both sides of the equation are pure fractions we can flip the fractions and solve for `w`:

`7/5 = w/150`

`color(red)(150) xx 7/5 = color(red)(150) xx w/150`

`cancel(color(red)(150))" " 30 xx 7/color(red)(cancel(color(black)(5))) = cancel(color(red)(150)) xx w/color(red)(cancel(color(black)(150)))`

`210 = w`

`w = 210`