Ahardware 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 three times as many type b clamps as type a clamps. the shop must produce 330 clamps per day. how many of each type are made per da

A = 120

B = 40

C = 70

Solution:

As per the question:

Manufacturer forced to make 10 more type C clamps than the total of A and b:

10 + A + B = C                (1)

Also, 3 times as many type B as type A clamps are:

A = 3B                             (2)

The total no. of clamps produced per day:

A + B + C  = 330              (3)

The no. of each type manufactured per day:

Now, from eqn (1), and (3):

A + B + 10 + A + B = 330

2A + 2B = 320

A + B = 160                       (4)

Now, from eqn (2) and (4):

3B + B = 160

B = 40

Since, A = 3B

A =

A = 120          

Put the values of A and C in eqn (3):

120 + 40 + C = 330

C = 70