Question

A hardware 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

Answer 1

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

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=(480)/(8)=60`

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

`B=3A = 3*60 =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.