Please solve all steps?

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1 Answer
Jim G.
Dec 10, 2017

#"see explanation"#

Explanation:

#"the number of pieces made "color(blue)"varies directly "#
#"with the number of workers"#

#"let p "=" pieces made and w"=" workers"#

#rArrppropw#

#"to convert to an equation multiply by k the constant"#
#"of variation"#

#rArrp=kw#

#"to find k use the given condition"#

#"16 workers made 40 pieces"#

#p=kwrArrk=p/w=40/16=5/2#

#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(p=5/2w)color(white)(2/2)|)))#

#rArrw=(2p)/5#

#"20 pieces "tow=(2xx20)/5=8" workers"#

#"25 pieces "tow=(2xx25)/5=10" workers"#

#"100 pieces "tow=(2xx100)/5=40" workers"#

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