Question

Divide 550 in the ratio of 1/2 : 1/4 : 1/6​

Answer 1

Step-by-step explanation:

According to the question,

\begin{gathered} \frac{x}{2} + \frac{x}{4} + \frac{x}{6} = 550 \\ \frac{6x + 3x + 2x}{12} = 550 \\ \frac{11x}{12} = 550 \\ x = \frac{550 \times 12}{11} \\ x = 50 \times 12 = 600. \\ first \: part \: = \frac{x}{2} = \frac{600}{2} = 300. \\ second \: part = \frac{x}{4} = \frac{600}{4} = 150. \\ and \: third \: part \: = \frac{x}{6} = \frac{600}{6} = 100.\end{gathered}2x+4x+6x=550126x+3x+2x=5501211x=550x=11550×12x=50×12=600.firstpart=2x=2600=300.secondpart=4x=4600=150.andthirdpart=6x=6600=100.