Question

If the sum of N25,300 is shared among three students P, Q, R such

that Q has half as much as P and R has twice as much as Q.
Calculate the amount each of the students receives.​

Answer 1

Explanation:

We begin with the fact that P + Q + R = 25300. Now we need to state all of those variables in terms of just one, since we can't have more than one unknown in an equation.

If Q is half as much as P, then

Q = 1/2 P

If R has twice as much as Q, then

R = 2Q, but since Q = 1/2P then

R = 2(1/2P) which is just P. So

R = P and the equation then becomes

P + 1/2P + P = 25300 and

`(5)/(2)P=25300\\((2)/(5))(5)/(2)P=25300((2)/(5))\\P=10120`

R also is 10120.

Since Q is half of that,

Q = 5060