Question

The ratio of black pens to blue pens in Mark's drawer is 4 to 3. If Mark has more than 40 pens, what is the minimun number of pens that can be in Mark's drawer?

Answer 1

The minimum number of black pens the drawer is 23 and The minimum number of blue pens in the drawer is 17 .

Explanation:

Given as :

The ratio of black pen to blue pen in drawer = 4 : 3

Let The minimum number of black pen = 4 x

And The minimum number of blue pen = 3 x

The total number of pens in drawer = more than 40

So, According to question

∵ The total number of pens in drawer
`>` 40

So, 4 x + 3 x
`>` 40

Or, 7 x
`>` 40

∴ x
`>`
`(40)/(7)`

I.e x
`>` 5.71

So, The minimum number of black pen = 4 × 5.7 = 22.8 ≈ 23

And The minimum number of blue pen = 3 × 5.7 = 17.1 ≈ 17

Hence The minimum number of black pens the drawer is 23 and The minimum number of blue pens in the drawer is 17 . Answer