SOLUTION: A ceramics workshop makes serving bowls, platters and bread baskets to sell. A serving bowl takes 3 hours to prepare, 2 hours to paint, and 10 hours to fire. A platter takes 16 hou

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A ceramics workshop makes serving bowls, platters and bread baskets to sell. A serving bowl takes 3 hours to prepare, 2 hours to paint, and 10 hours to fire. A platter takes 16 hou      Log On


   

Question 414086: A ceramics workshop makes serving bowls, platters and bread baskets to sell. A serving bowl takes 3 hours to prepare, 2 hours to paint, and 10 hours to fire. A platter takes 16 hours to prepare, 3 hours to paint, and 4 hours to fire. A bread basket takes 4 hours to prepare, 16 hours to paint, 7 hours to fire. If the workshop has 99 hours of prep time, 62 hours for painting, and 120 hours for firing, how many of each can be made?
How do I translate this into a system of linear equations?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let number of bowls that can be made = a
Let number of platters that can be made = b
Let number of bread baskets that can be made = c
given:
prep:
3a+%2B+16b+%2B+4c+%3C=+99
2a+%2B+3b+%2B+16c+%3C=+62
10a+%2B+4b+%2B+7c+%3C=+120
Maybe you can do without the < signs. I just wanted to show
that thoses tiomes couldn't be exceeded.
The units for each term are, for instance:
(number of bowls) x (prep time)/(bowl) = prep time
Hope this helps