If x : y = 1 : 2, find the value of (2x + 3y) : (x + 4y)	Choose the correct choice from the following options
A) 5 : 6 B) 7 : 8 C) 8 : 9 D) 9 : 10 E) 11 : 12
x : y = 1 : 2 means x/y = 1/2   Now, (2x + 3y) : (x + 4y) = (2x + 3y)/(x + 4y) [Divide numerator and denominator by y.]   = [(2x + 3y)/y]/[(x + 4y)/2] = [2(x/y) + 3]/[(x/y) + 4], put x/y = 1/2   We get = [2 (1/2) + 3)/(1/2 + 4) = (1 + 3)/[(1 + 8)/2] = 4/(9/2) = 4/1 × 2/9 = 8/9   Therefore the value of (2x + 3y) : (x + 4y) = 8 : 9   Answer is 8 : 9
<result>C</result>
If x : y = 1 : 2, find the value of (2x + 3y) : (x + 4y)