A student bought 3 notebooks and 1 pen for N35. After misplacing these items, she again bought 2 notebooks and 2 pens, all of the same type for N30. What is...
A student bought 3 notebooks and 1 pen for N35. After misplacing these items, she again bought 2 notebooks and 2 pens, all of the same type for
N30. What is the cost of a pen?
Answer Details
Let the cost of a notebook be N and the cost of a pen be P.
From the first transaction, we have:
3N + 1P = 35 ...(1)
From the second transaction, we have:
2N + 2P = 30 ...(2)
We want to find the value of P.
We can rearrange equation (2) as follows:
2P = 30 - 2N
P = (30 - 2N)/2
Substituting this value of P into equation (1), we get:
3N + 1[(30 - 2N)/2] = 35
Multiplying both sides by 2, we get:
6N + (30 - 2N) = 70
Simplifying the expression, we get:
4N = 40
N = 10
Substituting this value of N into equation (2), we get:
2(10) + 2P = 30
Simplifying the expression, we get:
2P = 10
P = 5
Therefore, the cost of a pen is N5.00.
Answer: N5.00