Question

The yearly cost to attend University of Georgia is $15,000 more than Broward College. And, the yearly cost to attend Harvard is $65,000 more than Broward College. Combined, the cost to attend all the schools is $110,000. Determine the cost to attend Harvard University.

A. $75,000
B. $80,000
C. $85,000
D. $90,000

Answer 1

After setting up an equation using the given costs for Broward College, University of Georgia, and Harvard, solving for B reveals the cost to attend Harvard University is $75,000, which makes option A the correct answer.

Step-by-step explanation:

Let's denote the cost to attend Broward College as B. According to the problem, the yearly cost to attend University of Georgia is B + $15,000, and the yearly cost to attend Harvard is B + $65,000. The combined cost for all three schools is given as $110,000. Therefore, we can write the following equation:

B + (B + $15,000) + (B + $65,000) = $110,000

Combining like terms we get:

3B + $80,000 = $110,000

Subtracting $80,000 from both sides gives us:

3B = $30,000

Dividing both sides by 3, we find:

B = $10,000

Now, since Harvard costs B + $65,000:

Cost to attend Harvard = $10,000 + $65,000 = $75,000

Therefore, the cost to attend Harvard University is $75,000, which corresponds to option A.