SOLUTION: The total cost of 10 gallons of regular paint and 15 gallons of deluxe paint is $315. If the deluxe paint costs $6 more per gallon than the regular paint, what is the cost for 20

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The total cost of 10 gallons of regular paint and 15 gallons of deluxe paint is $315. If the deluxe paint costs $6 more per gallon than the regular paint, what is the cost for 20      Log On


   

Question 1170720: The total cost of 10 gallons of regular paint and 15 gallons of deluxe paint is
$315. If the deluxe paint costs $6 more per gallon than the regular paint, what
is the cost for 20 gallons of regular paint?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Instead of doing your problem for you, I'll do one exactly like it
step by step.

I'll do this one instead:

The total cost of 12 gallons of regular paint and 16 gallons of deluxe paint is
$480. If the deluxe paint costs $9 more per gallon than the regular paint, what
is the cost for 25 gallons of regular paint?

             | number| price|       |
             |   of  |  per | total |
             |gallons|gallon|  cost |
-------------------------------------                 
regular paint|  12   |  x   |  12x  | 
deluxe paint |  16   | x+9  |16(x+9)|
-------------------------------------
                       total| 480   |

  12x + 16(x+9) = 480
12x + 16x + 144 = 480
      28x + 144 = 480
            28x = 336
              x = 12

One gallon of regular paint costs $12, so
25 gallons of regular paint costs 25x$12 = $300

Now do your problem step-by-step the same exact way.

Edwin