A box contains 13 currency notes, all of which are either N50 or N20 notes. The total value of the currency notes is N530. How many N50 notes are in the box...
A box contains 13 currency notes, all of which are either N50 or N20 notes. The total value of the currency notes is N530. How many N50 notes are in the box?
Answer Details
Let's assume that there are x N50 notes and y N20 notes in the box.
From the problem, we know that the total number of currency notes is 13, so we have:
x + y = 13 ----(1)
We also know that the total value of the currency notes is N530. If we express this in terms of the number of N50 and N20 notes, we get:
50x + 20y = 530 ----(2)
We now have two equations (1) and (2) with two variables (x and y), which we can solve simultaneously.
Multiplying equation (1) by 20, we get:
20x + 20y = 260
Subtracting this equation from equation (2), we get:
30x = 270
Dividing both sides by 30, we get:
x = 9
Therefore, there are 9 N50 notes in the box.
Answer: 9