Question

Jordan is thinking of a number. Nine more than four times the number is the same as fifteen less than twice the number. What is the number? Please add the equation.

A. 7 (Equation: 4n + 9 = 2n - 15)
B. 11 (Equation: 4n + 9 = 2n - 15)
C. 5 (Equation: 4n + 9 = 2n - 15)
D. 3 (Equation: 4n + 9 = 2n - 15)

Answer 1

The equation 4n + 9 = 2n - 15 is used to solve for Jordan's number. The correct option is B.

Step-by-step explanation:

Jordan is thinking of a number, and we are given an equation to find this number: 4n + 9 = 2n - 15. To solve for the number, we need to isolate the variable n (which represents the number Jordan is thinking of) on one side of the equation.

Here's how we do that step by step:

Subtract 2n from both sides:

4n - 2n + 9 = 2n - 2n - 15, which simplifies to 2n + 9 = -15.

Subtract 9 from both sides:

2n + 9 - 9 = -15 - 9, which simplifies to 2n = -24.

Divide both sides by 2:

2n/2 = -24/2, which gives us n = -12.

Hence the correct answer is B.