Three machinists can produce a total of 57 drill bits. The first machinists\' pr

Question

Three machinists can produce a total of 57 drill bits. The first machinists' production plus 2 times the second machinists' production plus the third machinists' production is 74 bits. Then 5 times the first machinists' production plus the other two machinists' production is 137 bits. Determine the number of bits each machinist can produce.

This question accepts lists of numbers or formulas separated by semicolons.
E.g. "2; 4; 6" or "x+1; x-1".
The order of the list doesn't matter but be sure to separate the terms with semicolons.

Explanation / Answer

Let x,y,z be produced by first, second and third machinist respectively

So,

x+y+z=57,

x+2y+z=74,

5x+y+z=137

Solving this system of equations gives

x=20,y=17,z=20

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