SOLUTION: A man can buy a number of shirts with £720. If each shirt is £2 cheaper, he can buy 4 more shirts. How many did he buy?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: A man can buy a number of shirts with £720. If each shirt is £2 cheaper, he can buy 4 more shirts. How many did he buy?      Log On


   



Question 1157101: A man can buy a number of shirts with £720. If each shirt is £2 cheaper, he can buy 4 more shirts. How many did he buy?
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let n be the number of the shirts under the question.


Then you have this equation for n

    720%2F%28n-2%29 - 720%2Fn = 4.


(price of one shirt in the hypothetical scenario MINUS price of one sheet in real scenario).


Simplify by dividing  both sides by 4

    180%2F%28n-2%29 - 180%2Fn = 1.


Reduce to the standard quadratic equation form and get the answer n = 20.

Solved.