Question

At a factory, the 24 workers in the design shop work at 2 small tables and 3 large tables. The 12 workers in the machine shop all work at small tables. The 36 workers in the QA department all work at large tables. If the number of large tables needed for the QA department is 2 more than the number of small tables needed for machine shop, how many workers can work at each large table? If you think there isnt sufficient data to answer this question, then put e as your answer. (Assume that the number of workers who work at each small table is always the same, and the number of workers who work at any large table is also always the same.)​

Answer 1

18/5, 28/5

Step-by-step explanation:

• We have 24 workers in 2 small and 3 large tables.
• We have 36 workers at all large tables
• we can also have 36 workers in all small tables by adding two tables
• Let a small table have x and a large table have y workers.

$From \ first \ statement,\\\\2x + 3y = 24\\\\From \ second \ and \ third \ statement\\\\\frac{36}{y} = \frac {36}{x+2}\\\\\implies \frac{1}{y} = \frac{1}{x+2}\\\\\implies y = x+2\\\\From \ the \ above \ two \ equations,\\\\2x + 3(x+2) = 24\\\\\implies 5x + 6 = 24\\\\\implies x = \frac{18}{5} \implies y = \frac{28}{5}$