Grades 5-6 Video Solutions 2021-video 2021 5-6/22

Video Transcription

Number 22. Maurice asked the canteen chef for the recipe for his pancakes. Maurice has 6 eggs, 400 grams of flour, 0.5 liters of milk, and 200 grams of butter.  What is the largest number of pancakes he can make using this recipe? See the picture and only the ingredients he has. So here we see ingredients for 100 pancakes,  25 eggs, 4 liters of milk, 5 kilograms of flour, and 1 kilogram of butter.  Okay, so what we need to do for this problem is to determine which one of these ingredients is  limiting. That is to say, which one of these ingredients are we going to run out of first  when we start making pancakes? So in order to do this, what we can look for is the ratio between  the quantity available, the quantity that Maurice has, and the quantity that is in the recipe.  Okay, so eggs. Maurice has 6 eggs. He needs 25 for 100 pancakes. Flour, 400 grams. 5 kilograms  of flour is needed. That's 5,000. Milk, 0.5 liters. 4 liters are needed for 100 pancakes. Butter, 200 grams of butter, and you need 1 kilogram of butter for 100.  Then we take a look at these ratios. So if we have eggs and enough of everything else, we can make 0.24 of this recipe. If we have this flour and enough of everything else,  we can make 0.08. If we have milk and excess of everything else, 0.125. Butter, excess of  everything else, 0.2. Well, unfortunately, we don't have excess of everything else, so flour  is the one that Maurice has the least amount of, and that means that it limits how many pancakes  he can make. Maurice can only make 0.08 of this recipe. So 400 grams of flour times 100 pancakes are made with 5,000 grams of flour. Maurice can make 8 pancakes, so the answer is B.

Video Summary

Maurice wants to make pancakes but has limited ingredients: 6 eggs, 400g flour, 0.5L milk, and 200g butter. The recipe for 100 pancakes requires 25 eggs, 5kg flour, 4L milk, and 1kg butter. To find the limiting ingredient, the ratios of available to needed ingredients are calculated. Flour, with a requirement of 5kg, limits Maurice as he only has enough to make 0.08 of the recipe, equating to 8 pancakes. Thus, flour is the limiting factor, and Maurice can only make 8 pancakes. The solution confirms that the answer is 8 pancakes.