the total weight of 3 people is 375, #1 is 30 lbs lighter than #3, #2 is 15 lbs heaver than #1. what is the weight of each?

Question

375-30+15=360

360/3 = 120

120=x

#1=120-30=90

#2= 90+15=105

#3=120

or

#1=120

#2=120-15=105

#3=120+30=150

Answer 1

Let weight 3 = x

Let weight 1 = x - 30

Let  weight 2 = (x - 30) + 15 = x - 15

 

Using these variables, we can write an equation that represents the total weight.

 

x + (x - 30) + (x - 15) = 375

 

Solve for x from the equation.

 

3x - 45 = 375

 

 

Add 45 on both sides of the equation.

 

3x = 420

 

 

Divide both sides of the equation by 3.

 

x = 140

 

 

Finally, substitute this value of x into the variables to find each weight.