Question

Reflect

1 Dan stocked up on batteries.
• He bought 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

To find the number of packages of AA and AAA batteries Dan bought, we can set up a system of equations and solve it.

Step-by-step explanation:

To solve this problem, we can use a system of equations. Let's define x as the number of packages of AA batteries and y as the number of packages of AAA batteries.

From the given information, we can set up two equations:

1. 
   
3. x + y = 10 (since Dan bought 10 packages in total)
4. 
   
6. 6x + 8y = 72 (since the AA batteries are sold in packages of 6 and the AAA batteries are sold in packages of 8)

We can now solve this system of equations to find the values of x and y.