Anand bought a total of 30 white and brown pens for a total of Rs 32. The cost of each white pen is 70 paise more than the cost of each brown pen. Which of the following represents a possible value of the cost of each brown pen(in paise)?
What following?
To find the possible value of the cost of each brown pen, we can set up a system of equations based on the given information.
Let's assume the cost of each brown pen is X paise. Then the cost of each white pen would be X + 70 paise.
According to the problem, Anand bought a total of 30 pens and the total cost of the pens is Rs 32. We need to convert this information into paise since we are dealing with paise in our equations.
1 rupee = 100 paise
So, 32 rupees = 32 * 100 = 3200 paise
The total number of pens is 30, so we can set up the following equation:
Number of brown pens + Number of white pens = Total number of pens
x + (x + 70) = 30
Simplifying the equation, we get:
2x + 70 = 30
2x = 30 - 70
2x = -40
Dividing both sides by 2:
x = -20
However, we cannot have a negative cost for pens. Hence, -20 is not a valid answer.
Therefore, there is no possible value of the cost of each brown pen that represents a valid solution in this given scenario.