What is the ratio weight for 150% of 8% cream to 250% of 2% cream respectively?
Answer (1)
Calculate the weight of 150% of 8% cream: 1.5 × 0.08 = 0.12 .
Calculate the weight of 250% of 2% cream: 2.5 × 0.02 = 0.05 .
Find the ratio of the two weights: 0.05 0.12 .
Simplify the ratio: 0.05 0.12 = 2.4 . The ratio is 2.4 .
Explanation
Understanding the Problem We are asked to find the ratio of the weight of 150% of 8% cream to the weight of 250% of 2% cream. Let's denote the weight of 150% of 8% cream as w 1 and the weight of 250% of 2% cream as w 2 . We need to find the ratio w 2 w 1 .
Calculating the Weights We can express w 1 as 150% of 8%, which is 1.5 × 0.08 = 0.12 . Similarly, we can express w 2 as 250% of 2%, which is 2.5 × 0.02 = 0.05 .
Finding the Ratio Now, we can find the ratio w 2 w 1 = 0.05 0.12 .
Simplifying the Ratio To simplify the ratio, we can divide both the numerator and the denominator by their greatest common divisor, or simply divide the numerator by the denominator: 0.05 0.12 = 2.4 .
Final Answer Therefore, the ratio of the weight of 150% of 8% cream to the weight of 250% of 2% cream is 2.4.
Examples
Imagine you are comparing the sugar content in two different desserts. One dessert is 150% of an 8% sugar solution, and the other is 250% of a 2% sugar solution. This problem helps you determine which dessert has a higher concentration of sugar. Understanding ratios and percentages allows you to make informed decisions about your dietary choices and compare nutritional values effectively. This concept is also applicable in various fields such as finance, where you might compare investment returns or interest rates.
