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.
Accepted Solution
A:
-------------------------------------------- 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
---------------------------------------------------------------------------------------- Answer: The price of the short is $35.80 ----------------------------------------------------------------------------------------