Question

4. Answer the following questions:
(4 X 2 = 8 marks)
a) In a pen holder, the number of blue, black, and red pens are in the ratio 1:2:3,
respectively. If there are 6 black pens, find the number of red pens.​

Answer 1

Question:-

In a pen holder, the number of blue, black, and red pens are in the ratio 1:2:3, respectively. If there are 6 black pens, find the number of red pens.

Answer:-

• There are 9 red pens in total

To find:-

• Number of Red pen

Solution:-

• Ratio = 1:2:3

Let,

• Blue pen = x
• Black pen = 2x
• Red pen = 3x

Given,

• Number of black pen = 6

According to question,

$\large{ \rm : \implies \: \: \: \: \: \: \: \: 2x = 6}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: x = \frac{6}{2} }$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: x = 3}$

• The value of x is 3

Now,

• Blue pen = x = 3 pen
• Black pen = 2x = 6 pen
• Red pen = 3x = 9 pen

Hence,

There are 9 red pens in total

Answer 2

☆ Solution ☆

Given :-

• In a pen holder, the number of blue, black, and red pens are in the ratio 1:2:3, respectively. If there are 6 black pens.

To Find :-

• The number of red pens.

Step-by-Step-Explaination :-

Let the blue pen be x

The black pen be 2x

The red pen be 3x

According to the condition,

2x = 6

x = 6/2

x = 3

Thus,

The value of x = 3

Now,

Blue pen = x = 3 pen

Black pen = 2x = 6 pen

Red pen = 3x = 9 pen

Hence,

There are 9 red pens .