14 is 35% of what number?

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Answer 1 · 2017-02-18T08:30:36

The number is $40$ $40$

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

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

$\frac{14}{35} = \frac{x}{100} \frac{\leftarrow the number}{\leftarrow the percent}$ $14/35 = x/100" " (larr"the number")/(larr"the percent")$

$35 x = 14 \times 100 \leftarrow$ $35x = 14xx100" "larr$ cross-multiply

$x = \frac{14 \times 100}{35}$ $x = (14xx100)/35$

$x = 40$ $x = 40$

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

Let the number be $x$ $x$

$35 % \times x = 14$ $35% xx x = 14$

$\frac{35}{100} x = 14$ $35/100 x = 14$

$x = \frac{14 \times 100}{35}$ $x = (14xx100)/35$

$x = 40$ $x = 40$

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