Answer:
The minimum number of black pens the drawer is 23 and The minimum number of blue pens in the drawer is 17 .
Step-by-step 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 [tex]>[/tex] 40
So, 4 x + 3 x [tex]>[/tex] 40
Or, 7 x [tex]>[/tex] 40
∴ x [tex]>[/tex] [tex]\frac{40}{7}[/tex]
I.e x [tex]>[/tex] 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
