Division of 324 between x and y in the ratio 11:7

To solve this problem, we need to find out the values of x and y assuming that the division of 324 is in the ratio of 11:7 between x and y.

Step 1: Find the total ratio

To find the total ratio, we add the ratio values. The total ratio is 11+7=18.

Step 2: Find the value of each part

To find the value of each part, we divide the total number by the total ratio. So, the value of each part is 324/18 = 18.

Step 3: Find the value of x and y

To find the value of x and y, we multiply the value of each part by the respective ratio value. So, x gets 11 parts and y gets 7 parts. Therefore,

x = 11 × 18 = 198
y = 7 × 18 = 126

Step 4: Find the amount of money x and y would get

To find the amount of money x and y would get, we need to assume the value of each rupee. Let's assume that each rupee is worth Rs. 1. So, x would get Rs. 198 and y would get Rs. 126.

Therefore, x and y would get Rs. 198 and Rs. 126 respectively if 324 is divided in the ratio of 11:7 between x and y.

Explanation

This problem requires the application of ratio and proportion concepts. We need to understand the ratio between x and y and how it affects the division of 324 between them. Once we find the ratio, we can easily find the value of each part and then the value of x and y. Finally, we can assume the value of each rupee to find the amount of money x and y would get. This problem tests our understanding of basic mathematical concepts and our ability to apply them in real-life situations.