Hey John
Let's start solving #1 
x/4 = 3.5/28
Cross multiply 
(x)(28) = (3.5)(4)
28x = 14 
Divide both sides by 28
28x/28 = 14/28
x = 1/2 
Next, let's solve the second one 

Simplifies to:

Cross multiply 
(105x + 75)(5) = (28)(50x)
525x + 375 = 1400x 
Subtract 1400x to both sides 
525x + 375 - 1400x = 1400x - 1400x 
-875x + 375 = 0 
Then subtract 375 from both sides 
-875x + 375 - 375 = 0 - 375 
-875x = -375 
To find x, divide both sides by -875
-875x/-875 = -375/-875
x = 3/7 
Let me know if you have questions about the answer. 
Best of luck with your studies!