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Minor Type problems | Manhattan strategy guides

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Minor Type problems | Manhattan strategy guides

by [email protected] » Tue Oct 02, 2012 1:14 am
Huey's Hip Pizzasells two sizes of square pizzas: a small pizza that measures
10 inches on a side and costs $10, and a large pizza that measures 15 inches
on a side and costs $20. If two friends go to Huey's with $30 apiece, how
many more square inchs of pizza can they buy if they pool their money
than if they each purchase pizza alone?
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by anuprajan5 » Tue Oct 02, 2012 2:23 am
If they pool their money, they have 60$ to spend. And to maximize area, they select all large pizzas which equate to 3.

area of 1 large pizza - 225 sq inches
area of 3 large pizzas - 675 sq inches

If they buy them separately, they have 30$ to spend each. And to maximize area, they buy 1 large pizza and 1 small pizza each

area of 1 large pizza and 1 small pizza - 225+100 = 325 sq inches

Two purchases - 650 sq inches.

The differential - [spoiler]25 sq inches (675-650)[/spoiler]
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