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Wang Hao wants to spend at most on dairy products. Each liter of goat milk costs , and each liter of cow's milk costs . Write an inequality that represents the number of liters of goat milk and cow's milk Wang Hao can buy on his budget.
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Q. Wang Hao wants to spend at most on dairy products. Each liter of goat milk costs , and each liter of cow's milk costs . Write an inequality that represents the number of liters of goat milk and cow's milk Wang Hao can buy on his budget.
- Define milk costs: Define the cost per liter for goat milk and cow's milk.Goat milk costs per liter, and cow's milk costs per liter.
- Set up the inequality: Set up the inequality to represent the total cost of goat milk and cow's milk.The total cost is the sum of the cost of goat milk and the cost of cow's milk , which should be less than or equal to .So, the inequality is .
- Check the inequality: Check the inequality to ensure it represents the situation correctly.If Wang Hao buys liters of goat milk and liters of cow's milk, the inequality holds ().If Wang Hao buys liter of goat milk and liters of cow's milk, the cost is , and the inequality holds ().If Wang Hao buys liters of goat milk and liter of cow's milk, the cost is , and the inequality holds ().The inequality correctly represents the situation where the total cost of milk purchased is at most .
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