Tuesday

October 21, 2014

October 21, 2014

Posted by **ROSE** on Saturday, March 24, 2012 at 10:36pm.

- ALGEBRA -
**MathMate**, Sunday, March 25, 2012 at 8:56am"three kinds of clamps, type A, B, and C"

Let A,B,C represent the number of each.

"20 more type C clamps than the total of the other types"

C=A+B+20

"twice as many as B clamps as type A clamps."

A=2B

"produce 380 clamps per day"

A+B+C=380

So in summary, the equations are:

A+B+C=380 ...(1)

C=A+B+20 ...(2)

A=2B ...(3)

This can be solved by successive substitution as follows:

A=2B => C=(2B)+B+20=3B+20

Substitute A and C in the first equation

(2B) + B + (3B+20) = 380

Solve for B:

6B=360

B=60

therefore

A=2B = 120

C=3B+20=200

Check: A+B+C=120+60+200=380 OK.

**Answer this Question**

**Related Questions**

ALGEBRA - A hardware supplier manufactures three kinds of clamps, types A, B, ...

math - Hey I need some help with this problem. Any ideas on how to solve it? ...

math - A hardware supplier manufactures three kinds of fasteners, type A,B and C...

Algebra (Please check) - PLEASE CHECK MY ANSWERS (: I just want to make sure I ...

Algebra - you are about to take a test that contain questions of type A worth 4 ...

Algebra (Need help desperately) - I really dont understand these.. can someone ...

mathematics - seeds of type A and type B are sold in packets, each must contain ...

Math Algebra - Question:: You are about to take a test that contains questions ...

math-Statistics - I have been working on the Type I error and a Type II error ...

relations and functions - Seeds of type A and type B are sold ihna packet each ...