Homework Help: Pre-Calculus

Posted by Andrea on Thursday, July 24, 2008 at 7:15pm.

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 - drwls, Thursday, July 24, 2008 at 7:22pm
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 - Andrea, Thursday, July 24, 2008 at 7:37pm
  I tried it this way and my answer for
  - Pre-Calculus - Andrea, Thursday, July 24, 2008 at 7:39pm
    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 - drwls, Thursday, July 24, 2008 at 10:03pm
I get the same result as you, and checked my work. I have no explanation
Pre-Calculus - Brandon, Saturday, July 26, 2008 at 8:05pm
Sometimes one winds up with an "erroneous" solution.

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