Question

Rubi had bought $x$ oranges from a store. When she got home, she found that 4 of them were rotten. Of the rest, she gave one-third to her daughter. How many apples did she give to her daughter?

• A. $\frac{x-4}{3}$
• B. $\frac{x+4}{3}$
• C. $(x-4)\times 3$
• D. $(x-4)÷3$

Answer 1

The correct option is A $\frac{x-4}{3}$

Number of oranges she bought $=x$
Number of oranges that were rotten $=4$

$\Rightarrow$ Remaining number of oranges $=$ Number of oranges she bought $-$ Number of oranges that were rotten
$=x-4$

Fraction of oranges given to daughter
$=\frac{1}{3}$

Number of oranges given to Rubi's daughter $=\text{remaining number of oranges}\times \text{fraction of oranges given to daughter}$
$=(x-4)\times \frac{1}{3}$
$=\frac{x-4}{3}$

Hence, $\frac{x-4}{3}$ oranges has been given to Rubi's daughter.