Question

$10\%$ of the entries for a competition won prizes. $135$ entries did not win a prize.Find the total number of entries.

Answer 1

$10$% of the entries for a competition won prizes.

i.e., $90$% of the entries did not win a prize.

Let, the total number of entries be $x$

According to the question,

$90$ % of $x=135$

$⟹\frac{90}{100}x=135$

$⟹\frac{9}{10}x=135$

$⟹x=\frac{10}{9}\times 135$

$\therefore x=150$

Therefore, the total number of entries $=150$