What is true about the ratio of two numbers if one is 60 when their sum is 100?

What is true about the ratio of two numbers if one is 60 when their sum is 100?

• A. It is 1:5
• B. It is 2:3
• C. It is 3:2
• D. It is 4:1

Answer: (B)

To understand why the answer is correct, first consider the sum of the two numbers. If one number is 60, the other number must be 100 - 60, which equals 40. Now, to find the ratio of the two numbers, you compare the two quantities: 60 and 40. The ratio is found by dividing both numbers by their greatest common divisor. In this case, the ratio of 60 to 40 can be simplified as follows: 1. Divide both numbers by 20 (the greatest common divisor of 60 and 40). - 60 ÷ 20 = 3 - 40 ÷ 20 = 2 This results in the simplified ratio of 3:2. Thus, the correct interpretation of the ratio when one number is 60 and their sum is 100 is indeed 3:2.

To understand why the answer is correct, first consider the sum of the two numbers. If one number is 60, the other number must be 100 - 60, which equals 40.

Now, to find the ratio of the two numbers, you compare the two quantities: 60 and 40. The ratio is found by dividing both numbers by their greatest common divisor.

In this case, the ratio of 60 to 40 can be simplified as follows:

1. Divide both numbers by 20 (the greatest common divisor of 60 and 40).

• 60 ÷ 20 = 3

• 40 ÷ 20 = 2

This results in the simplified ratio of 3:2.

Thus, the correct interpretation of the ratio when one number is 60 and their sum is 100 is indeed 3:2.