THIS IS THE COMPLETE QUESTION BELOW
Problem number 26 of the Rhind Papyrus says:
Find a quantity such that when it is added to ¼ of itself the result is 15.
The modern day equation that models this problem is x +
¼x = 15. What is the solution to the equation?
A) x = 10
B) x = 12
C) x = 15
D) x = 30
Answer:
The quantity is X= 12
The solution is 12+ ¼(12)= 15
Step by step Explanation
Problem number 26 states " "
The question above can be represented as this,
x + ¼x = 15
Here we want to find the value of x in such a way that when that value is substitute in the expresion we have 15 as our answer,But here we can perform some manipulation, by saying
4/4x + ¼x = 15 ..............eqn(1)
Even with this we can still get the above expression by saying
4/4x= x which means we're still correct.
Then the expresion eqn(1) can simplified as
5/4x = 15
If we multiply both sides by 4/5 we have
=(5/4x)×(4/5)
= 15×(4/5)
= (15/1)×(4/5)
X= 60/5
X = 12
The quantity is X= 12 and the solution is
12+ ¼(12)= 15