Answer to Question #182189 in Algebra for Mark

Question

A men's store bought 500 suits, some at $125 each and the rest at $200 each. If the total cost of the suits was $77,500, how many suits was purchased at $200?

Answer 1

Let the number of suits bought at $125 be x

Let the number of suits bought at $200 be y

Fom the question we derived two equations:

125(x) + 200(y) = 77500........... Equation 1

x + y = 500.......... Equation 2

From equation 2 [ x + y = 500]

We can say x = 500 - y

Since x = 500 - y

Input 500 - y for the value of x in equation 1

∴ 125(500 - y) + 200(y) = 77500

62500 - 125y + 200y =77500

62500 + 75y = 77500

75y = 77500 - 62500

75y = 15000

Divide both sides by 75

∴ y = 200

y represents the number of suits bought at $200

∴ the number of suits bought at $200 is 200