Amount of money in the hand of Wade = $175
Cost of each sweater = $12
Amount of money that needs to be in the hand of Wade after buying sweater = $55
Let us assume the number of sweaters that Wade can buy = x
Then
12x + 55 = 175
This is the inequality equation that has to be solved to find the number of sweaters that Wade can buy.
So
12x + 55 = 175
12x = 175 -55
12x = 120
x = 120/12
= 10
So Wade can buy a total of 10 sweaters and still have $55 in his hand. I hope the procedure of doing this problem is clear to you.