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March 28, 2017

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A car manufacturing company (the Company) can produce a car for $3000.00 and a truck for $5000.00. Suppose "C" cars and "T" trucks are sold to the dealer at mark-ups, respectively, of 20 and 30 percent. If the Company made a profit of $27 million on sales of $137 million in one particular year, how many cars and trucks were sold by the company in that year?

I have to get 2 equations from this and use the substitution or elimination method

  • Pre-Calculus - ,

    The first equation would be
    3000 C + 5000 T = 137,000,000 (total sales)

    The second equation would be
    3000*.20*C + 5000*.30*T = 27,000,000 (profit)
    This can be rewritten
    600 C + 1500 T = 27,000,000

    Now solve those two equations for C and T, the number of cars and trucks sold, using either method.

  • Pre-Calculus - ,

    I tried it this way and my answer for

  • Pre-Calculus - ,

    I tried to solve it using those equations but my answer for T is a negative number which I know it can't be

  • Pre-Calculus - ,

    I get the same result as you, and checked my work. I have no explanation

  • Pre-Calculus - ,

    Sometimes one winds up with an "erroneous" solution.

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