together two computers cost $2700 per year to rent. if one costs twice as much as the other, what is the monthly cost of the most expensive one?
The more expensive one is 2/3 of the total cost. The other is 1/3.
What is 2/3 of 2700 ?
To find the monthly cost of the most expensive computer, we need to start by setting up a system of equations based on the given information.
Let's assume the cost of the less expensive computer is x dollars per year. Since the other computer costs twice as much, the cost of the more expensive computer will be 2x dollars per year.
Now, we know that the total cost to rent both computers is $2700 per year. So, we can write the following equation:
x + 2x = 2700
Combining like terms:
3x = 2700
Dividing both sides by 3:
x = 2700/3
Simplifying:
x = 900
Therefore, the cost of the less expensive computer per year is $900.
To find the monthly cost of the most expensive computer, which is 2x, we will divide the annual cost by 12 (since there are 12 months in a year):
2x/12 = (2 * 900)/12 = 1800/12 = 150
So, the monthly cost of the most expensive computer is $150.