Question

The university bought a total of 2,200 computers, with the ratio of HP to IBM to Dell being 2:3:6. Each HP computer costs $750, and each Dell computer costs 90% of the price of an HP computer. If the university spent a total of $1,650,000, what is the cost of each IBM computer?

a) $1,000
b) $1,200
c) $1,500
d) $2,000

Answer 1

To find the cost of each IBM computer, we divide the total cost of all the computers by the ratio of IBM to the sum of all ratios and round to the nearest dollar.

Step-by-step explanation:

To find the cost of each IBM computer, we first need to calculate the total cost of all the computers. Since the ratio of HP to IBM to Dell is 2:3:6, we can divide 2,200 by the sum of the ratios (2+3+6) to find the cost of each unit. Each unit represents the total cost for one type of computer.

Let's calculate the total cost of the computers:

Total cost = 2,200 / (2+3+6) x $1,650,000 = $550,000

Now, we can calculate the cost of each IBM computer. Since the ratio of IBM to HP is 3:2, and there are 3 units representing IBM computers, we can divide the total cost by 3 to find the cost of each IBM computer:

Cost of each IBM computer = $550,000 / 3 = $183,333.33

Rounding this to the nearest dollar, the cost of each IBM computer is $183,333. Therefore, the correct answer is not among the given options.