Question

Olivia bought $x$ number of apples from a store. When she got home, she found that 4 of them were rotten. She gave one-third of the remaining apples to her neighbor. How many apples did she give her neighbor?

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

Answer 1

The correct option is C $\frac{(x-4)}{3}$

Number of apples Olivia bought = $x$
Number of apples that were rotten = 4
$\Rightarrow$Number of apples remaining = number of apples Olivia bought - number of apples that were rotten $=x-4$
Fraction of apples given to the neighbor$=\frac{1}{3}$
Number of apples given to the neighbor = fraction of apples given to the neighbor × remaining number of apples $=\frac{1}{3}\times (x-4)=\frac{(x-4)}{3}$
Hence, Olivia gives $\frac{(x-4)}{3}$ apples to her neighbor.