Final answer:
Jonny has 9 pairs of Nike shoes and 3 pairs of Adidas shoes, solved by setting up and solving a simple algebraic equation.
Step-by-step explanation:
The question asks us to determine the number of pairs of Nike and Adidas shoes Jonny has. To solve this, let's define x as the number of pairs of Adidas shoes. Since Jonny has 6 more pairs of Nikes than Adidas shoes, the number of pairs of Nikes will be x + 6. Jonny has a total of 12 pairs of shoes, which is the sum of pairs of Nikes and Adidas shoes, therefore:
x + (x + 6) = 12
2x + 6 = 12
Subtracting 6 from both sides, we have:
2x = 6
Dividing both sides by 2 gives:
x = 3
So Jonny has 3 pairs of Adidas shoes. Now, to find the number of pairs of Nikes:
x + 6 = 3 + 6
= 9
Therefore, Jonny has 9 pairs of Nike shoes and 3 pairs of Adidas shoes.