Step 1:

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A factory produces 2 types of cogs in 2 different factories.

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Factory $\"\"$ produces $\"\"$ standard and $\"\"$ delux cogs per day.

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The equation is $\"\"$ .

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Factory $\"\"$ produces $\"\"$ standard and $\"\"$ delux cogs per day.

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$\"\"$ .

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Find how many days should the company operate each factory in order to exactly fill

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an order for $\"\"$ standard and $\"\"$ delux cogs.

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Let $\"\"$ represents number of days.

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Find $\"\"$ .

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Solve two eqution.

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$\"\"$

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$\"\"$

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Substitute $\"\"$ in the any equation.

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$\"\"$

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Substitute $\"\"$ in the $\"\"$ .

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$\"\"$

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Solution:

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The company operate each factory in order to exactly fill an order for $\"\"$ standard and $\"\"$ delux cogs $\"\"$ days approximately.