Question

A gardener earns money by mowing the lawn. His earnings are given in the below table. If his average income is 5 dollars, find his income on Day 2.

• A. $\frac{33}{2}$ dollars
• B. $\frac{23}{4}$ dollars
• C. 5 dollars
• D. $\frac{4}{5}$ dollars

Answer 1

The correct option is B $\frac{23}{4}$ dollars

The gardener's income on Day 1 = $\frac{19}{4}$ dollars

His income on Day 3 = $\frac{18}{4}$ dollars

His average income per day = 5 dollars

Let, his income on day 2 be '$x$' dollars

Therefore, $(\frac{19}{4}+x+\frac{18}{4})÷3=5$

$\Rightarrow (\frac{19}{4}+x+\frac{18}{4})\times \frac{1}{3}=5$

$\Rightarrow (\frac{19}{4}+x+\frac{18}{4})=15$

$\Rightarrow \frac{37}{4}+x=15$

$\Rightarrow x=15-\frac{37}{4}$

$\Rightarrow x=\frac{60-37}{4}$

$\Rightarrow x=\frac{23}{4}$

Hence, the earnings he makes on Day 2 is $\frac{23}{4}$ dollars.