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?

Question

I need to make two equations out of this and then use the substitution or elimination method. I posted this question earlier but the two equations didn't work out because I kept getting a negative answer

Answer 1

5000(1.2)T+3000(1.3)C=137,000,000
5000*.2T+ 3000(.3)C=27,000,000

Which reduces to
6T+3.9C=137000
T+.9C=27000

Check my thinking.