A trader sold

Question

A trader sold his entire stock of shirts and ties for 10,000 the shirts being priced at 3 for 100and the ties at 20 each. If he sold only 1/2 of the shirts and 2/3 of the ties he would have collected 6000. How many of each kind did he sell?

Answer 1

shirts 3 for $100, ties $20 each

he sold them all for $10,000

if he sold only 1/2 his shirts and 2/3 his ties, he'd have made $6,000

how many of each did he sell? 120 shirts, 300 ties

cost 120(100/3) + 20(300) = 4K +6K = $10,000

and (1/2)(100/3)(120) + (2/3)(20)(300) = 2K +4K= 6K = $6,000