If three numbers P, Q, R are in ratio 6 : 4 : 5, find the value of \( \frac{3p-q}{4q+r} \)

Assessment: JAMB UTME - Mathematics - 1985 Subject: General Mathematics

Question 1 Report

If three numbers P, Q, R are in ratio 6 : 4 : 5, find the value of \( \frac{3p-q}{4q+r} \)

Answer Details

P : Q : r = 6 : 4 : 5
5 = 6 + 4 + 5
= 15
P =  6 15 , q =  4 15 , r =  5 15  =  1 3
To find  3 p − q 4 q + r
3p - q = 3 x  6 15  -  4 15
18 15  -  4 15  =  14 15
∴ 4q + r = 4 x  4 15  +  5 15
16 15  =  16 15  +  5 15
=  21 15
14 15  x  15 21  =  14 21
= 

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