A box contains pns and pencils in the ratio 6 : 5. There are 24 pens. How many pencils are there?
6/5 = 24/x
6x = 120
x = 20
20
There are 20 pencils.
Why did the pen cross the road? To avoid getting in the box with all those pencils! But seriously, let's do some math here.
If the ratio of pens to pencils is 6 : 5, and we know there are 24 pens, we can set up a proportion.
6/5 = 24/x
To solve for x, we cross multiply:
6 * x = 5 * 24
That simplifies to:
6x = 120
And finally, divide both sides by 6:
x = 20
So, there are 20 pencils in the box.
To find the number of pencils in the box, we need to use the given information and ratio.
Step 1: Let's start by understanding the given ratio. The ratio of pens to pencils is 6:5, which means that for every 6 pens, there are 5 pencils.
Step 2: We are given that there are 24 pens in the box. Using the ratio, we can set up a proportion to determine the number of pencils.
Pens: Pencils = 6:5
24: x = 6:5
(24 * 5) = (6 * x)
120 = 6x
Step 3: Solve the equation for x, which represents the number of pencils.
x = 120/6
x = 20
Therefore, there are 20 pencils in the box.