What is the ratio if we use 150 of 8% cream to 250 of 2% cream respectively?
Answer (1)
Calculate the amount of fat in the 8% cream: 150 × 0.08 = 12 .
Calculate the amount of fat in the 2% cream: 250 × 0.02 = 5 .
Express the ratio of the amount of fat in the 8% cream to the amount of fat in the 2% cream.
The ratio is 12 : 5 .
Explanation
Problem Analysis Let's analyze the problem. The question is asking for a ratio related to 150 units of 8% cream and 250 units of 2% cream. The question is poorly worded, but we can assume it is asking for the ratio of the amount of fat in the two creams.
Fat in 8% Cream First, we calculate the amount of fat in the 150 units of 8% cream. This is done by multiplying the amount of cream by the percentage of fat: 150 × 0.08 = 12 . So, there are 12 units of fat in the 8% cream.
Fat in 2% Cream Next, we calculate the amount of fat in the 250 units of 2% cream. This is done by multiplying the amount of cream by the percentage of fat: 250 × 0.02 = 5 . So, there are 5 units of fat in the 2% cream.
Ratio of Fat Amounts Now, we express the ratio of the amount of fat in the 8% cream to the amount of fat in the 2% cream. This is the ratio 12:5.
Final Answer Therefore, the ratio of the amount of fat in the 8% cream to the amount of fat in the 2% cream is 12:5.
Examples
Understanding ratios is crucial in everyday life. For example, when mixing cleaning solutions, you need to maintain the correct ratio of water to concentrate to ensure effectiveness and safety. Similarly, in cooking, the ratio of ingredients like flour to sugar determines the texture and taste of the final product. By mastering ratios, you can accurately scale recipes, adjust mixtures, and make informed decisions in various practical situations.
