Question

In a bag, there are red and blue cubes in the ratio 4 : 7

Answer 1

The number of the blue cubes is 35 and the number of the red cubes is 20.

What is the ratio?

The ratio is defined as the representation of the one number with respect to the other number. or one number is how many times the other number.

Given that:-

• In a bag, there are red and blue cubes in the ratio of 4: 7
• I add 10 more red cubes to the bag. Now there are red and blue cubes in the ratio of 6: 7

The number of the blue cubes are calculated as:-

The two equations will be formed by the given data in the question.

$\dfrac{r}{b}=\dfrac{4}{7}$

7r = 4b

$\dfrac{r+10}{b}=\dfrac{6}{7}$

7r + 70 = 6b

Solving the above equation we will get the value of b.

4b + 70 = 6b

6b - 4b = 70

2b = 70

b = 35

7r = 4b

7r = 4 x 35

r = 20

Therefore the number of the blue cubes is 35 and the number of the red cubes is 20.

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