Question

A certain store is selling packages of 10 pencils and 4 pens for back to school. The store manager wants to make a larger package of the same ratio. The large package has 10 pens how many pencils are in the large package.

Answer 1

To maintain the same ratio of 10 pencils to 4 pens, you can set up a proportion:

10 pencils / 4 pens = X pencils / 10 pens

Now, cross-multiply:

10 pencils * 10 pens = 4 pens * X pencils

100 pencils = 4X pencils

Now, solve for X by dividing both sides by 4:

X pencils = 100 pencils / 4

X pencils = 25 pencils

So, in the larger package with 10 pens, there would be 25 pencils.