SOLUTION: Patrick visited the school store. NOtebooks cost 75 cents and pens cost 50 cents. How many different combinations of notebooks and pens could Patrick buy for $5.00?

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Question 396901: Patrick visited the school store. NOtebooks cost 75 cents and pens cost 50 cents. How many different combinations of notebooks and pens could Patrick buy for $5.00?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = number of notebooks
Let y = number of pens
.75x+%2B+.5y+=+5
75x+%2B+50y+=+500
50y+=+-75x+%2B+500
y+=+-%283%2F2%29%2Ax+%2B+10
I'll plot this
+graph%28+400%2C+400%2C+-5%2C+13%2C+-5%2C+13%2C+-%283%2F2%29%2Ax+%2B+10%29+
The equation shows that only an even number will
work for x. The plot shows this number can only
be 2,4,or 6
The allowed points are (2,7),(4,4), and (6,1)