The total cost of a shirt and a tie was $75.62. if the price of the shirt was $4.02 less than the tie, what was the price of the shirt? express your answer as a simplified fraction or a decimal rounded to two places.

Define x:

Let the tie be x
Tie = x
Shirt = x - 4.02


Construct equation :
 
The sum of the shirt and tie is $75.62
x + x -4.02 = 75.62
2x - 4.02 = 75.62
2x = 79.64
x = $39.82


Find the cost of tie and shirt :

Tie = x = $39.82
Shirt = x - $4.02 = $39.82 - $4.02 = $35.80


The price of the short is $35.80