Question

Harry wants to buy pencils and erasers. each pencil costs 30cenfs and each eraser costs 15cents. He wants to buy 30 items altogether with $5.25. How many pencils should be purchase if he wants to buy the most possible number of pencils?

Step 1

Let the number of pencils and erasers be x and y, respectively.

According to given, the total items are 30 items, thus the first equation becomes

Step 2

For each pencil, the cost is 30 cents and the cost for each eraser is 15 cents. The total money that he can spend is $5.25 that is 525 cents. Hence, the second equation becomes

Step 3

Consider the boundary points as follows.

For y=0, x=30 from the f...

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