Answer:
15 blue marbles
Step-by-step explanation:
Given that:
A bag contains 6 red marbles.
The Ratio of red to blue marbles is 2:5
Thus, the ratio of red marbles for 6 red marbles in a bag will be = 6/2 = 3
Now; the ratio of blue marbles in a bag containing 6 red marbles = 3 × 5 = 15 blue marbles
OR
Mathematically;
[tex]\dfrac{2}{5} \times \dfrac{x}{x} = \dfrac{6}{blue}[/tex]
So, we are looking for the same number we can multiply for both the numerator and the denominator that can give us the value of 6 in the above numerator to determine the value of the denominator. If we use 3 since 2× 3 = 6
We have:
[tex]\dfrac{2}{5} \times \dfrac{3}{3} = \dfrac{6}{blue}[/tex]
[tex]\dfrac{2}{5} \times \dfrac{3}{3} = \dfrac{6}{15}[/tex]
So, there are 15 blue marbles in the bag.
