Question

Each cows in a farm produces $10\frac{2}{3}$ liters of milk daily. If there are total of 5 cows in a farm, find the total quantity of milk produced in $\frac{1}{2}$ of a day?

• A. $\frac{16}{15}$ liters
• B. $\frac{80}{3}$ liters
• C. $\frac{75}{31}$ liters
• D. $\frac{40}{3}$ liters

Answer 1

The correct option is B $\frac{80}{3}$ liters

Quantity of milk produced by each cow per day $=10\frac{2}{3}$ liters
Total number of cows in the farm = 5

Total quantity of milk produced in $\frac{1}{2}$ of a day = Quantity of milk produced by each cow per day $\times \frac{1}{2}\times$ Total number of cows

$=10\frac{2}{3}\times \frac{1}{2}\times 5$

$=\frac{3\times 10+2}{10}\times \frac{1}{2}\times 5$

$=\frac{32}{3}\times \frac{1}{2}\times \frac{5}{1}$

We have to multiply the top numbers and the bottom numbers as follows and then simplify it.
$=\frac{32\times 1\times 5}{3\times 2\times 1}$

Now, simplify the fraction
$=\frac{2\times 16\times 5}{3\times 2}$

The common factors of the numerator and the denominator gets canceled, we get
$=\frac{80}{3}$ liters

Hence, total quantity of milk produced in a day is $\frac{80}{3}$ liters.