Question

Dan Stocked up on batteries. He Brought 10 packages of AA and AAA batteries for a total of 72 batteries. The AA batteries are sold in packages of 6, and the AAA batteries are sold in packages of 8. Write a system of equations that can be solved to find how many packages of each type of battery Dan bought. Remember to define your variables.

Answer 1

The system of equations that make the definition are;

x + y = 10 •••••••••(i)

6x + 8y = 72 ••••••••(ii)

Where x refer to the number of packages of AA battery bought and y refers to the number of packages of AAA batteries bought

Explanation:

Here, we are to write system of equations that can be solved which will help give the number of packages of each type of battery bought.

Let the number of AA batteries bought be x while the number of AAA batteries bought be y;

Since he bought a total of 10 packages,

What this means is that;

x + y = 10 •••••••••(i)

We are also told that the AA batteries are sold in packages of 6, so the total number of AA batteries bought is; 6 * x = 6x

Also, we know that the AAA batteries are sold in packages of 8, so the total number of AAA batteries bought is 8 * y = 8y

We add both to give the total number of packages.

Mathematically, that would be;

6x + 8y = 72 •••••••••(ii)

By solving both equation set, we shall have the number of each types of batteries bought