SOLUTION: You are going clothes shopping and can spend at most $130 on clothes. It costs $30 for a pair of pants and $22 for a shirt. Let x represent the number of pants you can buy. Let y r

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: You are going clothes shopping and can spend at most $130 on clothes. It costs $30 for a pair of pants and $22 for a shirt. Let x represent the number of pants you can buy. Let y r      Log On


   



Question 1052782: You are going clothes shopping and can spend at most $130 on clothes. It costs $30 for a pair of pants and $22 for a shirt. Let x represent the number of pants you can buy. Let y represent the number the number of shirts you can buy.
A. Write and graph an inequality that describes the different number of shirts and pants you can buy.
B.Give three possible combinations of pants and shirts that you can buy.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(A)
+30x+%2B+22y+%3C=+130+
-------------------------
+22y+%3C=+-30x+%2B+130+
+y+%3C=+%28-30%2F22%29%2Ax+%2B+130%2F22+
Here's the graph. The triangular area
between the line and the x and y axes
are the possible solutions
( including the x and y axes )
But you are restricted to points ( x,y ) that
are whole numbers, since fractions
of pants or shirts is not allowed.
-------------------------------------
+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+%28-30%2F22%29%2Ax+%2B+130%2F22+%29+
(B)
From the graph, it looks like +x=2+ and +y=3+
would be allowed
------------------
Check this answer:
+30x+%2B+22y+%3C=+130+
+30%2A2+%2B+22%2A3+%3C=+130+
+60+%2B+66+%3C=+130+
+126+%3C=+130+
OK
You can find 2 more by lookng at the graph