Pat has 1212 eggs, 2kg2kg of flour, and 2L2L of milk. His pancake recipe calls for 22 eggs, 250g250g of flour and 400mL400mL of milk.He makes as many pancakes as he can while using the ingredients in the proportions given in the recipe.How much flour will he have left?
Question
Pat has 1212 eggs, 2kg2kg of flour, and 2L2L of milk. His pancake recipe calls for 22 eggs, 250g250g of flour and 400mL400mL of milk.He makes as many pancakes as he can while using the ingredients in the proportions given in the recipe.How much flour will he have left?
Solution
First, let's find out how many pancakes Pat can make with each ingredient:
- With the eggs: Pat has 12 eggs and the recipe calls for 2 eggs per pancake. So, 12 / 2 = 6 pancakes.
- With the flour: Pat has 2kg (or 2000g) of flour and the recipe calls for 250g per pancake. So, 2000 / 250 = 8 pancakes.
- With the milk: Pat has 2L (or 2000mL) of milk and the recipe calls for 400mL per pancake. So, 2000 / 400 = 5 pancakes.
Pat can only make as many pancakes as the ingredient he has the least of allows. In this case, that's the milk, which only allows for 5 pancakes.
Now, let's find out how much flour Pat will have left after making 5 pancakes. Each pancake uses 250g of flour, so 5 pancakes will use 5 * 250 = 1250g of flour.
Pat started with 2000g of flour, so after making 5 pancakes, he will have 2000 - 1250 = 750g of flour left.
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