Answer:
each bag of regular dog food costs approximately $4.632, and each bag of premium dog food costs approximately $5.5584.
Explanation:
let x be the cost of the regular dog food
Max bought 10 bags of the regular dog food, we can represent this as
10x
The premium cost 20% more than the regular dog food.
x + 0.20x
3(x + 0.20x) multiply by 3 because he bought 3 bags
He spent $63
10x + 3(x + 0.20x) = 63
10x + 3x + 0.60x = 63
13.6x = 63
x = 4.6323...it means each bag of regular dog food costs approximately $4.632.
let us find the cost of premium dog food
x + 0.20x
4.632 + 0.20(4.632)
4.632 + 0.9264
$5.5584
Therefore, each bag of regular dog food costs approximately $4.632, and each bag of premium dog food costs approximately $5.5584.