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Answer:
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.