Question

there are at most 36 red and blue marbles in the bag the number of red marbles is twice the number of blue marbles write and solve the inequality that represents the greatest number of red marbles r in the bag

Answer 1

Answer : The greatest number of red marbles is 24.

Explanation:

Let the number of red marbles be x

Let the number of blue marbles be y

Since we have given that sum of blue and red marbles is atmost 36

i.e. x+y ≤ 36 (Equation 1)

and we have also given that red marbles is twice of blue marbles .

i.e. x= 2y ( Equation 2)

By putting the value of x from( Equation 2) in ( Equation 1) ,

we have,

   2y+y ≤ 36

⇒ 3y ≤ 36

⇒ y ≤ $\frac{36}{3}$

⇒ y≤ 12

Now, we put the value of y in Equation 1

 x+ 12 ≤ 36

⇒ x ≤ 36-12

⇒ x ≤ 24

So the greatest number of  red marbles  are in the bags is 24 .