14 is 35% of what number?

1 Answer
Feb 18, 2017

Answer:

The number is #40#

Explanation:

Percentage questions can always be solved by using direct proportion , which is the same as using equivalent fractions.

If #14# represents #35%# of a certain number, 100% will give us the actual number.

#14/35 = x/100" " (larr"the number")/(larr"the percent")#

#35x = 14xx100" "larr# cross-multiply

#x = (14xx100)/35#

#x = 40#

Another method would be to write and equation and solve it.

Let the number be #x#

#35% xx x = 14#

#35/100 x = 14#

#x = (14xx100)/35#

#x = 40#

Note that we end up with the same calculation but with two different thinking methods and approaches.