Question

How many more unit squares in the figure must be shaded so that the fraction of shaded squares is $\frac{7}{9}$?

• A. $1$
• B. $3$
• C. $6$
• D. $8$

Answer 1

Answer: (D)

$8$

Total number of unit square is $18$

$\Rightarrow$ Let total number of shaded squares be $x$.

$\Rightarrow$ Fraction of shaded squares is $\frac{7}{9}$

$\to$ According to the question,

$\Rightarrow$ $\frac{7}{9}=\frac{x}{18}$

$\Rightarrow$ $x=\frac{7}{9}\times 18$

$\Rightarrow$ $x=14$

$\Rightarrow$ Out of these $14$ squares $6$ are shaded.

$\therefore$ We have to shade $8$ more squares.