Problema Solution

87 kg of potatoes are distributed in two boxes.One box weighs 11kg less than the other one.Hw many kgs are contained in the lighter box?

Answer provided by our tutors

Algebra with 2 variable and two equations.

 

a --> weight of box #1

b --> weight of box #2

 

 

87 kg of potatoes are distributed in two boxes.

a + b = 87

 

 

One box weighs 11 kg less than the other one

a - b = 11

So

a = 11 + b

 

Let's look at equation 1.

 

a + b = 87

=> 11 + b + b = 87

=> 2b = 87 - 11

=> b = 76/2

=> b = 38

 

So a = 11 + 38

=> a = 49

 

So the lighter box weighs 38 kg.