at dapper daves annual end - of - season sale, every necktie in the shop gets marked down. dillon purchased…

at dapper daves annual end - of - season sale, every necktie in the shop gets marked down. dillon purchased 6 neckties during the sale. each necktie cost $5 less than its full price. he paid a total of $162. what is the cost of each necktie at full price?

at dapper daves annual end - of - season sale, every necktie in the shop gets marked down. dillon purchased 6 neckties during the sale. each necktie cost $5 less than its full price. he paid a total of $162. what is the cost of each necktie at full price?

Answer

Explanation:

Step1: Find the sale - price per necktie

Let the sale - price per necktie be $x$. He bought 6 neckties and paid $162$ in total. So, $x=\frac{162}{6}$. $x = 27$

Step2: Find the full - price per necktie

Each necktie cost $5$ less than its full - price during the sale. Let the full - price per necktie be $y$. Then $y=x + 5$. Substitute $x = 27$ into the equation: $y=27+5$. $y = 32$

Answer:

32