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Max bought 10 bags of the regular dog food and 3 bags of the premium. The premium cost 20% more than the regular dog food. He spent $63. How much did each bag of dog food cost

User Mshcruz
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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.

User MarkPowell
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