Johnny is buying AA batteries and D batteries. The store sells AA batteries in packs of 7 and D batteries in packs of 6. If Johnny wishes to buy the same number of AA and D batteries, what is the smallest number of each battery type that he can buy?
batteries
The smallest number of AA and D batteries that Johnny can buy while maintaining equal numbers of each is 42. He can buy 6 packs of 7 AA batteries (6 x 7 = 42) and 7 packs of 6 D batteries (7 x 6 = 42). This way, he will have the same number of AA and D batteries (42 of each).
To find the smallest number of each battery type that Johnny can buy, we need to find the lowest common multiple (LCM) of the pack sizes for AA and D batteries.
The pack size for AA batteries is 7, and the pack size for D batteries is 6.
The LCM of 7 and 6 is 42.
So, the smallest number of AA and D batteries that Johnny can buy is 42.