The cost of 1 note book and 2 pens is 14 cedis and the cost of 2 note book and 3 pens is 24 cedis.
Find the cost of 1 note book and 1 pen
Let's assume the cost of one notebook is N cedis and the cost of one pen is P cedis.
According to the given information:
1 notebook + 2 pens = 14 cedis
2 notebooks + 3 pens = 24 cedis
From the first equation, we can write:
N + 2P = 14 --(1)
From the second equation, we can write:
2N + 3P = 24 --(2)
To find the cost of 1 notebook and 1 pen, we need to solve these two equations simultaneously.
Multiplying equation (1) by 2, we get:
2N + 4P = 28 --(3)
Now, subtracting equation (2) from equation (3), we can eliminate N:
2N + 4P - (2N + 3P) = 28 - 24
N = 4
Now substitute the value of N into equation (1):
4 + 2P = 14
2P = 10
P = 5
Therefore, the cost of 1 notebook is 4 cedis and the cost of 1 pen is 5 cedis.