SOLUTION: Hello. Referred to me by Minka. A hardware supplier manufactures three kinds of clamps, types A, B, and C. Production restrictions force it to make 20 more tye C clamps than t

Algebra ->  Human-and-algebraic-language -> SOLUTION: Hello. Referred to me by Minka. A hardware supplier manufactures three kinds of clamps, types A, B, and C. Production restrictions force it to make 20 more tye C clamps than t      Log On


   

Question 460027: Hello. Referred to me by Minka.

A hardware supplier manufactures three kinds of clamps, types A, B, and C. Production restrictions force it to make 20 more tye C clamps than the total of the other types and twice as many type b clamps as type A clamps. The shop must produce 380 clamps per day. How many of each type are made per day?
How many type A clamps are produced?
How many type B clamps are produced?
How many type C clamps are produced?
Truly greatful to whom replies.
Samantha

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
A hardware supplier manufactures three kinds of clamps, types A, B, and+C.
Production restrictions force it to make 20+more tye C clamps than the total of the other types
+C=A%2BB%2B20.
and twice as many type Bclamps as type A clamps.
B=2A
The shop must produce 380+clamps per day.
+A%2BB%2BC=380

How many of each type are made per day?
+C=A%2BB%2B20............1
B=2A.......................2....substitute in 1
+A%2BB%2BC=380...........3
---------------------------------------
+C=A%2B2A%2B20............1
+C=3A%2B20.............substitute in 3

+A%2B2A%2B3A%2B20=380...........3....solve for A
+6A=380-20
+6A=360
+A=360%2F6
+highlight%28A=60%29
B=2A.......................2
B=2%2A60
highlight%28B=120%29
+C=3A%2B20.
+C=3%2A60%2B20
+C=180%2B20.
+highlight%28C=200%29.

check:
+A%2BB%2BC=380
+60%2B120%2B200=380
+380=380