Answer:
One solution
Step-by-step explanation:
The given equation is;
0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)
Multiply through by 100
75(x + 40) = 35(x + 20) + 35(x + 20)
Combine the right hand side
75(x + 40) = 70(x + 20)
Expand the parenthesis
75x +3000 = 70x + 1400
Group similar terms;
75x -70x =1400-3000
5x=-1600
Divide both sides by 5
x=-320
There exist only one solution