# 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.

1 answer

###### Question:

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.

## Answers

--------------------------------------------Define x:--------------------------------------------Let the tie be xTie = xShirt = x - 4.02--------------------------------------------Construct equation : --------------------------------------------The sum of the shirt and tie is $75.62x + x -4.02 = 75.622x - 4.02 = 75.622x = 79.64x = $39.82--------------------------------------------Find the cost of tie and shirt :--------------------------------------------Tie = x = $39.82Shirt = x - $4.02 = $39.82 - $4.02 = $35.80----------------------------------------------------------------------------------------Answer: The price of the short is $35.80----------------------------------------------------------------------------------------

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