A factory has three types of machines - A, B, and C - each of which works at its own constant rate. How many widgets could one machine A, one Machine B, and one Machine C produce in one 8-hour day?
(1) 7 Machine As and 11 Machine Bs can produce 250 widgets per hour
(2) 8 Machine As and 22 Machine Cs can produce 600 widgets per hour
[spoiler]OA=C[/spoiler]
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A factory has three types of machines
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Require both the options.
\(7A+11B = 250\) widgets per hour
Multiplying by \(2\)
\(14A+22B = 500\) widgets per hour \(\cdots(1)\)
Using the 2nd statement,
\(8A+22C= 600\) widgets per hour \(\cdots(2)\)
Adding \((1)\) and \((2)\)
\(22A+22B+22C=1100\)
\(A+B+C= 50\) widgets per hour.
Therefore, __C__ is the correct option.
\(7A+11B = 250\) widgets per hour
Multiplying by \(2\)
\(14A+22B = 500\) widgets per hour \(\cdots(1)\)
Using the 2nd statement,
\(8A+22C= 600\) widgets per hour \(\cdots(2)\)
Adding \((1)\) and \((2)\)
\(22A+22B+22C=1100\)
\(A+B+C= 50\) widgets per hour.
Therefore, __C__ is the correct option.
