Question #57ca0

1 Answer
smendyka
Mar 31, 2017

See the entire solution process below:

Explanation:

"Percent" or "%" means "out of 100" or "per 100", Therefore 35% can be written as #35/100#.

When dealing with percents the word "of" means "times" or "to multiply".

Finally, lets call the number we are looking for "n".

Putting this altogether we can write this equation and solve for #n# while keeping the equation balanced:

#35/100 xx n = 40#

#color(red)(100)/color(blue)(35) xx 35/100 xx n = color(red)(100)/color(blue)(35) xx 40#

#cancel(color(red)(100))/cancel(color(blue)(35)) xx color(blue)(cancel(color(black)(35)))/color(red)(cancel(color(black)(100))) xx n = 4000/color(blue)(35)#

#n = 114.286# rounded to the nearest thousandth.

Related questions
See all questions in Percent Equations
Impact of this question
1226 views around the world
You can reuse this answer
Creative Commons License