SOLUTION: a factory is required to make 10 more type C clamps than the total of the other types and twice as many b clamps as type a. The shop produces 250 clamps per day. How many of each t

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: a factory is required to make 10 more type C clamps than the total of the other types and twice as many b clamps as type a. The shop produces 250 clamps per day. How many of each t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 535770: a factory is required to make 10 more type C clamps than the total of the other types and twice as many b clamps as type a. The shop produces 250 clamps per day. How many of each type are made per day. Type a= type b= type c= Thank you very much. Im not very bright when it comes to algebra. I just cant get it. Now when I see how you do it will come back to me. I am a visual learner I guess. Mary
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
"10 more type C clamps than the total of the other types" ___ c = a + b + 10

"twice as many b clamps as type a" ___ b = 2a

"The shop produces 250 clamps per day" ___ a + b + c = 250

substituting for c ___ a + b + (a + b + 10) = 250 ___ 2a + 2b + 10 = 250

substituting for b ___ 2a + 2(2a) + 10 = 250 ___ 6a + 10 = 250 ___ a = 40

use the value of a to find b and then c