Find the increase of N240 by ratio $3: 5$.
A. 400
B. 60
Answer (2)
The increase of N240 by the ratio 3 : 5 is N160. The calculation shows that the increase corresponds to the change in parts of the ratio, resulting in a total increase of N160. The provided options do not include this value, indicating a possible error in the question.
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Determine the increase in the ratio: 5 − 3 = 2 .
Set up a proportion to find the increase in the amount: 240 x = 3 2 .
Solve for x : x = 240 × 3 2 .
Calculate the increase: x = 160 .
Explanation
Understanding the Problem We are given an initial amount of N240 and asked to find the increase when the ratio changes from 3 to 5. This means we need to determine what amount corresponds to the increase in the ratio.
Calculating the Increase in Ratio The initial ratio is 3, and the final ratio is 5. The increase in the ratio is 5 − 3 = 2 . We need to find what amount corresponds to this increase of 2, relative to the initial ratio of 3.
Setting up the Proportion To find the increase in the amount, we set up a proportion. Let x be the increase in the amount. Then we have: 240 x = 3 2 This proportion states that the ratio of the increase x to the original amount N240 is equal to the ratio of the increase in the ratio (2) to the original ratio (3).
Solving for the Increase Now, we solve for x by multiplying both sides of the equation by 240: x = 240 × 3 2 x = 3 240 × 2 x = 3 480 x = 160 So, the increase in the amount is N160.
Final Answer and Conclusion The increase of N240 by ratio 3 : 5 is N160. However, the options provided are A. 400 and B. 60. It seems there might be a misunderstanding in the question or the options provided are incorrect. Based on the calculation, the increase is N160, which is not among the options.
Examples
Ratios are commonly used in cooking to scale recipes. For example, if a recipe calls for a ratio of 3 parts flour to 5 parts water and you want to increase the recipe size, you can use the same ratio to find the new amounts. If you start with 240 grams of flour, you can calculate the amount of water needed by setting up a proportion: x 240 = 5 3 . Solving for x gives you the amount of water needed to maintain the same consistency and taste in the larger batch.
