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# 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?

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?

check_circleAnswer
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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### Equations and In-equations

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