Question

The total cost for tuition plus room and board at State College is $14789. Tuition is 886 more than room

and board. What is the tuition? Do not use the dollar sign ( ).

Answer 1

tuition is 7837.5

Step-by-step explanation:

let T = tuition

let R = room & board

T + R = 14789

T = 886 + R (so tuition is 886 more than Room & Board)

Substitute T = 886 + R for R in that first equation like this:

T + R = 14789

(886+ R) + R = 14789

886 + 2R = 14789

2R = 13903

R = 6951.5

So if R = 6951.5, then Tuition is $886 more than R, so Tuition = 6951.5 + 886 = 7837.5.

Check that R + T = 14789

6951.5 + 7837.5 = 14789.

Answer 2

To find the tuition at State College, we solve the equation set up based on the given total cost and the difference between tuition and room and board. The tuition is found to be $7837.5.

Step-by-step explanation:

The student's question is about solving a problem where the total cost of tuition plus room and board at State College is $14789, with tuition being $886 more than room and board. To find the tuition cost, we set up an equation where room and board cost is x, and tuition will then be x + 886.

The equation to represent the total cost is:

x + (x + 886) = 14789

We then combine like terms and solve for x:

2x + 886 = 14789

2x = 14789 - 886

2x = 13903

x = 13903 / 2

x = 6951.5

Thus, the cost of room and board is $6951.5, and the tuition, being $886 more, is calculated as follows:

Tuition = 6951.5 + 886 = 7837.5

So, the tuition cost is $7837.5.