Question

A hardware supplier manufactures three kinds of clamps types A B and C Production restrictions force it to make 20 more type clamps than the total of the other types and twice as many type clamps as type A clamps. The shop mustproduce 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?

Answer 1

How many of each type are made per day? A =60 B= 120 and C=200

How many type A clamps are produced? 60

How many type B clamps are produced? 120

How many type C clamps are produced? 200

1) Gathering the data from the question

A=2x

B=2A A= B/2

C=A +B+ 20

A+B+C=380

A +B +A +B+20= 380

2A+2B +20 =380

2(A+B) +20-20=380-20

2(A+B) =360

A+B=180

Since B =2A We can plug in:

A +2A=180

3A=180

A=60

B= 120

C= 180+20

C=200

3)

How many of each type are made per day? A =60 B= 120 and C=200

How many type A clamps are produced? 60

How many type B clamps are produced? 120

How many type C clamps are produced? 200