morgan is 1/2 ofa foot shorter cayle, jane is one foot shorter than cayle. their average height is 6'1". who is tallest and what is her and his height?

Question

 i am don't know how to begen and to slover

Answer 1

Let Cayle's height = x

Let Morgan's height = (1/2)x

Let Jane's height = x - 1

 

Using these variables, we can create an equation that represents the average of their heights.  Average is the sum of the heights divided by the number of heights.

 

 

Convert average height to feet to be consistent with units.  The heights of the 3 people are in feet.

 

6 feet 1 inch = 6 1/12 feet = 73/12 feet

 

 

Now we create the equation and solve for x.

 

[x + (1/2)x + x - 1] / 3 = 73 / 12

 

(2.5x - 1) / 3 = 73 / 12

 

 

Multiply both sides of equation by 3.

 

2.5x - 1 = 73 / 4

 

 

Multiply both sides of equation by 4.

 

10x - 4 = 73

 

10x = 77

 

   x = 7.7

 

 

Plug in this value of x into the variables to get the 3 heights.