Question

The equation (x+28)/5 =3x models the workload of a class project, where x is the number of hours each student must contribute.

How many hours does each student work on the project?
a. 2 hours
b. 5 hours
c. 7 hours
d. 12 hours

Answer 1

To solve the equation (x+28)/5 = 3x, multiply by 5, subtract x from both sides, and then divide by 14 to find that each student must work 2 hours on the project.

Step-by-step explanation:

The question involves solving for x in the equation (x+28)/5 = 3x, which models the workload of a class project in terms of the number of hours each student must contribute. To solve for x, we perform the following steps:

Multiply both sides by 5 to eliminate the fraction: 5 * (x + 28) / 5 = 5 * 3x, which simplifies to x + 28 = 15x.

Subtract x from both sides to get all the xs on one side: 28 = 15x - x, which simplifies to 28 = 14x.

Divide both sides by 14 to solve for x: 28 / 14 = x, or x = 2.

Thus, the number of hours each student must work on the project is 2 hours. This corresponds to option (a). Therefore, the correct option answer in the final answer is 2 hours.