SOLUTION: Jack and his children went into a restaurant where they sell hamburgers for $6 each and tacos for $2 each. Jack has $30 to spend and must buy at least 8 hamburgers and tacos altoge

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Jack and his children went into a restaurant where they sell hamburgers for $6 each and tacos for $2 each. Jack has $30 to spend and must buy at least 8 hamburgers and tacos altoge      Log On


   

Question 1186290: Jack and his children went into a restaurant where they sell hamburgers for $6 each and tacos for $2 each. Jack has $30 to spend and must buy at least 8 hamburgers and tacos altogether. If xx represents the number of hamburgers purchased and yy represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39620) About Me  (Show Source):
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The solution from the other tutor leaves out one of the constraints and so suggests invalid answers....

x hamburgers at $6 each, plus y tacos at $2, must cost at most $30

6x+2y<=30
3x+y<=15
y<=-3x+15

The total number of hamburgers and tacos must be at least 8

x+y>=8
y>=-x+8

A graph; solution must have x and y non-negative, and must be on or below the red line and on or above the green line

graph%28400%2C400%2C-2%2C10%2C-2%2C20%2C-3x%2B15%2C-x%2B8%29

You can find one or more solutions -- using the graph if you want.