If Musa scored 75 in Biology instead of 57, his average mark in four subjects would have been 60. what was his total mark?
Thats great
To find Musa's total mark, we need to determine his marks in the other three subjects.
Let's assume his marks in the other three subjects are x, y, and z.
We know that his average mark in four subjects would have been 60 if he scored 75 in Biology instead of 57.
So, the sum of his marks in the four subjects would be (60 * 4) = 240.
Currently, his total mark is (57 + x + y + z).
If Musa scored 75 instead of 57 in Biology, his new total mark would be (75 + x + y + z).
According to the given information, his new average would have been 60.
So, (75 + x + y + z) / 4 = 60.
Let's solve this equation to find the values of x, y, and z:
75 + x + y + z = 240
x + y + z = 240 - 75
x + y + z = 165
Therefore, Musa's total mark would be 165.
To find Musa's total mark, we need to determine his average mark in the four subjects before the change. Let's denote Musa's marks in the four subjects as A, B, C, and D.
We are given that if Musa scored 75 in Biology instead of 57, his average mark in the four subjects would have been 60.
So, before the change, Musa's average mark in the four subjects would have been 60 as well.
Let's find the total mark before the change:
Total Mark = A + B + C + D
Average Mark = (A + B + C + D)/4
We know that the average mark before the change is also 60, so we can write the equation:
60 = (A + B + C + D)/4
To solve for the total mark, we need to find the sum of A, B, C, and D, which can be obtained by multiplying both sides of the equation by 4:
240 = A + B + C + D
Now we have the equation that represents the total mark.
Next, we need to consider the change in Biology's score. We are told that if Musa scored 75 in Biology instead of 57, his average mark in the four subjects would have been 60.
This means we need to subtract the original score in Biology (57) and add the new score (75) to find the new total mark:
New Total Mark = Total Mark - Original Biology Score + New Biology Score
New Total Mark = 240 - 57 + 75
New Total Mark = 258
Therefore, Musa's total mark would have been 258 in the four subjects if he scored 75 in Biology instead of 57.