Leslie bought 7 packages total of AA and AAA, AA has 6 batteries in each package and AAA has 8 batteries in each package, she ended up with 52 batteries in total. How many packages or AA and AAA did she buy?

5 packages of AAA batteries and 2 packages of AA batteries.

Step-by-step explanation:

8 (batteries in one AAA package) x 5 (number of packages) = 40 (batteries)    

6 (batteries in AA package) x 2 (number of packages) = 12(batteries)  

40 + 12 = 52

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x