Tony works at a gas station. He serves 12 cars in 20 min. At this rate, how many cars can he serve in 25 min?

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Answer 1 · 2016-10-07T22:57:54

Tony serves #15# cars in #25# minutes.

He serves #12# cars in #20# minutes
#:.# he serves #12/20# cars in #1# minute
#:.# he serves #25xx12/20# cars in #25# minutes

#25xx12/20=(5xx5)xx(2xx2xx3)/(2xx2xx5)#

= #(cancel5xx5)xx(cancel2xxcancel2xx3)/(cancel2xxcancel2xxcancel5)#

= #15#

#:.# he serves #15# cars in #25# minutes

Answer 2 · 2016-10-10T08:04:31

In 25 minutes Tony could serve 15 cars

Write the given information as a ratio but in fractional form then use the principle of equivalent fractions. Example: #1/2->(1xx2)/(2xx2)=2/4 #

#color(brown)("We are given 12 cars served in 20 min. Write as "12/20)#

#color(blue)("To find the count of 'cars' in: "("cars")/(25" minutes")#

#("cars")/("time")->" "color(brown)(12/20\)" "color(blue)( = ("cars")/25)#

#("cars")/("time")->color(brown)((12-:4)/(20-:4)) color(white)(.)color(blue)(= ("cars")/25)#

#("cars")/("time")->" "color(brown)((3)/(5) )" "color(blue)(= ("cars")/25)#

#("cars")/("time")->color(white)(.)color(brown)((3xx5)/(5xx5))color(white)(.) color(blue)(= ("cars")/25 = 15/25)#

In 25 minutes Tony could serve 15 cars