+0  
 
0
490
1
avatar

You have $10,000 to purchase computers and printers. Using the full amount, you can but 10 computers and 10 printers or 12 computers and 2 printers. What is the cost of 1 computer?

 Dec 3, 2016
 #1
avatar+48 
0

10000=10c+10p=10c+10p+2c-8p=12c+2p

 

From this we can deduce that one computer's cost is equal to the cost of 4 printers, since 8 printers had to be removed to afford 2 extra computers. So c=4p, p=0,25c

 

This means that if we substitute all 10 printers for their computer value we can find out how much a computer costs.

 

10c+10*0,25c=10000

10c+2,5c=10000

12,5c=10000

c=10000/12,5

c=800

 

Answer: One computer costs 800$

 Dec 3, 2016

4 Online Users

avatar
avatar