math
posted by Jacob .
Hey I need some help with this problem. Any ideas on how to solve it? Thanks lots. : A hardware supplier manufactures three kinds of clamps, types A, B and C. Production restrictions require them to make 10 units more type C clamps than the total of the other types and twice as many type B clamps as type A. The shop must produce a total of 490 units of clamps per day. How many units of each type can be made per day?

Let's set up the equations:
C=A+B+10 ....(1)
B=2A .....(2)
A+B+C=490 ....(3)
Substitute (2) in (1) to get:
C=A+2A+10=3A+10 .....(1A)
Substitute (1A) & (2) in (3) to get
A+2A+3A+10 = 490 ......(3A)
Solve for A and backsubstitute in (2) and (1) to get B and C.
Respond to this Question
Similar Questions

Health Project Ideas
As a health project, I have to make some sort of presentation expressing ANYTHING in health. Like I have to make a poster on the circulatory system or something but I don't want to do something so easy. Could you help me with some … 
algebra II
I need help solving these types of problems here is one one of them. Can somone show me how to solve them.thanks Production Requirements An electronics company produces transistors, resistors, and computer chips. Each transistor requires … 
Social Studies
We are doing this project for social studies, where each group gets a portion of Europe and basically make up their life their and stuff. So, I have the Southeast part and need to make the trade and commerce part. He said we could … 
hardware
What types of computer hardware would make your work life more efficient? 
Ma
Autoparts Inc. produces three types of parts' assemblies: (P,Q,R)and they each require (2,5,3) units of work on machine I and (2,2,4) units of work on machine II respectively. The two machines have respectively (160,190) units of work … 
Math
Autoparts Inc. produces three types of parts' assemblies: (P,Q,R)and they each require (2,5,3) units of work on machine I and (2,2,4) units of work on machine II respectively. The two machines have respectively (160,190) units of work … 
ALGEBRA
A hardware supplier manufactures three kinds of clamps, type A, B, and C. Production restrictions force it to make 20 more type C clamps than the total of the other types and twice as many as B clamps as type A clamps. The shop must … 
ALGEBRA
A hardware supplier manufactures three kinds of clamps, types A, B, and C. Production restrictions force it to make 10 more type C clamps than the total of the other types and twice as many type B clamps as type A clamps. The shop … 
math
A hardware supplier manufactures three kinds of fasteners, type A,B and C. Production restrictions require it to make 10 units more of type C than the total of the other types and twice as many type B as type A. The shop must produce … 
Calculus
A company manufactures x units of one item and y units of another. The total cost in dollars, C, of producing these two items is approximated by the function C=7x^2+xy+1y^2+600. A) If the production quota for the total number of items …