Question

Ratio of number of blue pens to the number of black pens with Anil is 5 : 6
What are the values of total number of pens with Anil?
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Answer 1

Answer:

black pen is 50

and,

blue pen is 80

Step-by-step explanation:

Let the rationale between black pen anf blue pen be x

As per statement, box has a ratio of black to blue pens as 5 : 8. Accordingly Black pens are 5x and blue pens as 8x.

Now someone removes 20 blue pens to make the ratio 5 : 6 . As such

After removing 20 pens, the blue pens become (8x - 20), according to statement

5x / (8x - 20) = 5 / 6

Cross multiplication

30x = 5 ( 8x - 20 )

30x = 40x - 100

30x - 40x = - 100

—10x = —100

x = 100/10

x = 10

Rationale is 10, therefore black pens are 5x = 5 × 10 = 50 pens and Blue pens 8x = 8 × 10 = 80 pens

Thus, there were 50 black pens and 80 blue pens in the beginning.

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