Question 1111127
a = number of sailors.
b = number of soldiers.


a + b = 30


sailors are 2/3 of the soldiers.


a = 2/3 * b


replace a with 2/3 * b in a + b = 30 to get:


2/3 * b + b = 30


combine like terms to get 5/3 * b = 30


multiply both sides of the equation by 3/5 to get b = 3/5 * 30


this results in b = 18.


there are 18 soldiers.


there are 2/3 * 18 = 12 sailors.


total sailors plus soldiers is 30.


your solution is 18 soldiers.