Question

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 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

Answer 1

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 =
`3* 40`

A = 120

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

120 + 40 + C = 330

C = 70