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
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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) (Show Source): You can put this solution on YOUR website!
Answer by greenestamps(13203) (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
You can find one or more solutions -- using the graph if you want.
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