Question

riley is packing 144 pencils 120 files and 108 notebooks equally into as many boxes as possible.

Answer 1

To solve this question we will have to employ the use of the concept of the Greatest Common Denominator (GCD), also known as the Highest Common Factor (HCF).

We will have to find the GCD/HCF of 144, 120 and 108

Now, we know that:

$144=12\times 12$

$120=12\times 10$

$108=12\times 9$

Thus, the GCD is 12.

All that needs to be done now is to divide the total numbers of pencils, files and notebooks by 12.

Hence, if Riley is packing 144 pencils 120 files and 108 notebooks equally into as many boxes as possible, then one box will contain 12 pencils, 10 files and 9 notebooks.