Question

Three numbers have a sum of 43/4. The second number is half of the first number. The last number is one more than triple the first number. The numbers are all rational. Provide a simplified equation that could be used to find the values of all three numbers.

a. x + (1/2)x + (3x + 1) = 43/4
b. x + 2x + 3x = 43/4
c. (1/2)x + 2x + (3x + 1) = 43/4
d. (1/2)x + (2/3)x + (3x + 1) = 43/4

Answer 1

The simplified equation to find the values of the three numbers is option a: x + (1/2)x + (3x + 1) = 43/4, where x represents the first number.Option A is correct answer.

Step-by-step explanation:

To find the simplified equation that can be used to find the values of the three numbers based on the information provided, we can set up an equation where x represents the first number. The question tells us that the second number is half of the first number, which is (1/2)x, and the last number is one more than triple the first number, which is (3x + 1). The sum of the three numbers is 43/4, so we can write the equation as follows:

x + (1/2)x + (3x + 1) = 43/4

This corresponds to option a. Simplifying the equation would involve combining like terms and solving for x to find the values of all three numbers.