Question

a manager wants to separate his 43 emploees into two teams. one team has two fewer memebers than half the other team. how many employees are in each team?

Answer 1

a = one team
b = the other team
a + b = 43
1/2b - 2 = a

a + b = 43
(1/2b - 2) + b = 43
3/2b - 2 = 43
3/2b = 43 + 2
3/2b = 45
(3/2b)/(3/2) = 45/(3/2)
b = 45/1 x 2/3 = 90/3 = 30

a + b = 43
a + 30 = 43
a = 43 - 30
a = 13

one team (a) has 13 employees and the other team (b) has 30 employees :)