Solve Problems Involving the Relative Sizes of Two Quantities 3 - Reasoning

To prepare cream cheese, one must combine milk and yoghurt in the correct proportions. The problem at hand requires determining the weight of milk used when the total combined weight of milk and yoghurt is 875 grams. The given ratio of the weight of milk to the weight of yoghurt is 2:5. To solve for the weight of milk, we first add the parts of the ratio together, which gives us 2 + 5 = 7 parts in total. We then divide the total weight by the number of parts, so 875 ÷ 7 = 125, to find the weight of one part. Since the ratio indicates that milk is 2 parts of the total, we multiply the weight of one part by 2, resulting in 2 x 125 = 250 grams. Therefore, the weight of milk used to make cream cheese in this scenario is 250 grams.

The problem demonstrates the application of ratio and proportion in practical situations, such as cooking or baking, where ingredients must be mixed in specific ratios to achieve the desired outcome. By understanding how to work with ratios and proportions, one can accurately calculate the quantities needed for each ingredient. In this case, the calculation ensures that the correct amount of milk is used in relation to yoghurt to make cream cheese, with the solution confirming that 250 grams of milk is required when the total weight of both ingredients is 875 grams.