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Nadusha1986 [10]
3 years ago
5

A hardware supplier manufacturers 3 kinds of clamps types AB &c production restrictions force it to make 10 more type C clam

ps 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
Mathematics
1 answer:
hichkok12 [17]3 years ago
5 0

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;

C=A+B+10 \ \ \ \ \ equation \ 1

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.

B=3A \ \ \ \ equation\ 2

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;

A+B+C =490 \ \ \ \ equation \ 3

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

A+B+C=490\\\\A+3A+A+B+10=490\\\\A+3A+A+3A+10=490\\\\8A = 490-10\\\\8A=480\\\\A=\frac{480}{8}=60

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

B=3A = 3\times60 =180

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

C=A+B+10 = 60+180+10= 250

Now checking the same we get;

A+B+C=490\\60+180+250=490\\490=490

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

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