The length of the segment AB is 33 cm, point C divides it into two segments AC and CB

The length of the segment AB is 33 cm, point C divides it into two segments AC and CB, 40% of the segment AC is equal to 1/3 of the segment CB, find the length of the segment AC

It is known that the length of the segment AB is 33 cm.

It is also known that point C divides this segment into two: AC and CB.

The length of the segment AC will be denoted as “x” cm, and the length of the CB as “y” cm.

Let’s compose a system of equations:

x + y = 33;

0.4x = 1 / 3y.

Let’s derive the value “x” from 1 equation and substitute it into 2:

x = 33 – y;

0.4 * (33 – y) = 1 / 3y;

13.2 – 0.4y = 1 / 3y;

13.2 = 1 / 3y + 4 / 10y;

10 / 30y + 12 / 30y = 13.2;

22 / 30y = 13.2;

y = 13 2/10 / 22/30;

y = 132/10 * 30/22;

y = 3960/220 = 18 cm, length CB.

33 – 18 = 15 cm, speaker length.