Question

A box of pens contains only red pens and blue pens. The ratio of the number of red pens to the total number of pens in the box is 1:4. Which of the following statements CANNOT be true about the pens in the box? A. For every red pen, there are 4 blue pens. B. For every 5 red pens, there are 15 blue pens. C. If there are 60 pens in the box, 15 are red. D. If there are 24 pens in the box, 18 are blu

Answer 1

Answer:

Option B. For every 5 red pens, there are 15 blue pens.

Step-by-step explanation:

The statement expressed the ratio of the red pens to the total as 1 : 4.

This means that for every red pen in the box, there are 4 blue pens.

So, statement A is correct.

Let's skip B an look at other statements as well:

For C, the ratio will be 15 : 60 which translates to 1 : 4. So C is true.

Let's look at D.

This is an interesting one. The problem defines 18 as blue. So it means that 24 - 18 = 6

6 pens will be blue. Again 6 : 24 gives us 1 : 4. So D is true.

B gives us 5 : 24 which is not true.

Answer 2

B. for every 5 red pens there are 15 blue pens.