Question

The number of 37-inch HDTV's that is expected to be sold in a month is double that of 58-inch HDTV's and 50-inch HDTV's combined.sales of 58-inch HDTV's are expected to be equal. 58-inch HD-TV's sell for $4,800, 50-inch HD-TVs sell for $2000, and 37-inch HDTV's sell for $1800. if total sales of $168,000 are expected this month, how many of each HDTV's should be stocked?

Answer 1

If the number of 37,50,58-in tv's are x,y,z, then

x = 2(y+z)
z = ? (which are equal?)
1800x+2000y+4800z = 168000

Fix the second condition, and then solve the three equations.