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Mitch definitely had the most efficient solution. This is a timed test. Anyways, i will offer a complete algebraic solution that enables one to solve this problem without plugging in at all. We have two equations. Let x represent how many hours both machines work together. Let p represent how many h...

Jonathan buys c chairs and t tables for his newly set up restaurant, where c and t are positive integers. The chairs regularly sell at $50 apiece and the tables regularly sell at $80 apiece. Jonathan gets a discount of 20 percent on the price of each chair and 15 percent on the price of each table t...

One work crew can do a job in 8 days. After the first crew worked 3 days, a second crew joins them, and together, the two crews finish the job in 3 more days. How long would it take the second crew to do the job alone? after 3 days they do 3/8 of the job so have 5/8 of the job left together they do ...

a/b=1/3 since we obtain an exact answer, we can suppose a=1 and b=3 so c must =1.5 since b/c=2 d= 3 using same reasoning e=1 f=4 We have easy values to work with and have satisfied the ratio conditions. abc= 1(3)(1.5)=4.5 def=3(1)(4)=12 we obtain 4.5/12 =9/24 and dividing numerator and denominator b...