Question

The weight M of an object on the moon varies directly as its weight E on earth. A person who weighs 152.71 l b152.71 lb on earth weighs 25.96 l b25.96 lb on the moon. How much would a 219.41 dash l b219.41-lb person weigh on the​ moon?

Answer 1

37.29lb

Step-by-step explanation:

Because it varies directly the problem can be solved by the direct rule of three:

`(a)/(b) =(c)/(d)`

Where the value of a,b and c are known, then d is equal to

`d=(bc)/(a)`

The weights in the earth are a and c, and b is the weigh-in the moon, also a and b correspond to the same person, then:

`d=(bc)/(a)=(25.96(219.41))/(152.71)=37.29lb`