Divide 350 pounds in the ratio 4:2:1

The problem can be solved by figuring out what "1" represents on the ratio. 350 = 4x+2x+1x (because the problem is asking us to divide it, which means 4x, 2x, and 1x add up to 350).

Then we can divide 350 by 4+2+1 (7) which equals 50.

Each "1" is 50, so now we multiply 4 by 50, 2 by 50, and 1 by 50, which equals to 200:100:50. 200+100+50=350.

Hello,

Let's x then common factor of the parts.

part 1: 4*x

part 2: 2*x

part 3: x

So 4x+2x+x=350

==>7x=350

==>x=350/7

==>x=50

Thus

4x=4*50=200

2x=2*50=100

x=50

350=200+100+50