Ahardware supplier manufacturers 3 kinds of clamps types ab & c production restrictions force it to make 10 more type c clamps in the total of the other types and 3 times as many tight be clamps as type a clamps the shot must produce 490 clamps per day how many of each time are made predict

Hardware supplier will manufacture 60 Type A clamps, 180 Type B clamps and 150 Type C clamps.

Step-by-step explanation:

Given:

Company produces 3 types of clamp

Type A

Type B

Type C

production restrictions force it to make 10 more type C clamps in the total of the other types

Hence We can say that Clamp C is equal to sum of Clamp A and Clamp and 10

framing in equation form we get;

Also Given:

3 times as many Type B clamps as type A clamps

Hence we can say that Clamp B is equal to thrice of Clamp A.

Also Given

Total Number of Clamps  = 490

Hence Total  Number of Clamps  is equal to sum of number of Clamps of Type A, Type B and Type C.

Framing in equation form we get;

Substituting the equation 1 and Equation 2 in equation 3 we get

Now Substituting the Value of A in equation 2 we get;

Now Substituting the values of A and B in equation 1 we get:

Now checking the same we get;

Hence the Hardware supplier will manufacture 60 Type A clamps, 180 Type B clamps and 150 Type C clamps.