Question

A box contains only red, blue and green pens. The ratio of red pens to blue pens is 5 : 9. The ratio of blue pens to green pens is 1 : 4. Calculate the percentage of pens that are blue.

Answer 1

Answer:

The percentage of blue pens is 18%.

Step-by-step explanation:

According to the statement,

Blue appears in both ratio. So,

The ratios are r:b=5:9 and b:g=1:4

as blue appears in both, b:g= 1×9:4×9=9:36

So, we can see that, b=9, g=36, r=5

To find the percentage below: we will use the formula:

(blue pens/total pens)×100=9/(5+9+36)×100= 18%

Hence, the percentage of blue pens are 18%.