Are You Economical With Pizzas?

Geometry Level 1

A pizza shop sells two types of triangular pizza's, one is small and costs $2 per slice while the other is large and costs $3 per slice.

Sandeep goes to buy as much as he can with $6. As Sandeep is very economical, he tries to find out which is the better option so that he can get the most area out of it.

After some research, he concludes that the ratio of each of the corresponding sides of the small pizza to the large pizza to be \(5:6\). Considering the given conditions, what type of pizzas should Sandeep buy?

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