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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.​

Sagot :

Luv2Teachidn

Answer:

Step-by-step 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

[tex]\frac{5}{2}P=25300\\(\frac{2}{5})\frac{5}{2}P=25300(\frac{2}{5})\\P=10120[/tex]

R also is 10120.

Since Q is half of that,

Q = 5060

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