## Anthony can purchase bagels at $$\1.99$$ for a specialty bagel and $$\15.99$$ for a package of one dozen plain bagels.

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### Anthony can purchase bagels at $$\1.99$$ for a specialty bagel and $$\15.99$$ for a package of one dozen plain bagels.

by M7MBA » Wed Sep 23, 2020 12:10 am

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## Global Stats

Anthony can purchase bagels at $$\1.99$$ for a specialty bagel and $$\15.99$$ for a package of one dozen plain bagels. If Anthony can purchase only specialty bagels or packages of plain bagels, did Anthony purchase any plain bagels?

(1) Anthony spent less than $$\32.00$$
(2) Anthony spent more than $$31.90$$

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### Re: Anthony can purchase bagels at $$\1.99$$ for a specialty bagel and $$\15.99$$ for a package of one dozen plain bag

by deloitte247 » Fri Sep 25, 2020 7:22 am

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## Global Stats

1 specialty bagel = $1.99 1 dozen plain bagel =$15.99
Target question: Did Anthony purchase any plain bagels.
Statement 1: Anthony spent less than $32.00 If Anthony spent less than$32.00, there is a probability of buying specialty bagels only or buying a dozen plain bagels only. Since there is nothing more to enable us to get a more definite answer. Hence, statement 1 is NOT SUFFICIENT.

Statement 2: Anthony spent more than $32.00 There's also a possibility of buying special bagels only or buying dozen plain bagels only. Since there is nothing more to enable us to get a more definite answer. Also, statement 2 is NOT SUFFICIENT. Combining both statements together: For statement 1: Anthony's expenses <$32.00
For statement 2: Anthony's expenses > $32.00 Therefore,$31.90 < Anthony's expenses < \$32.00
This is achievable from purchasing two dozen plain bagels or 1 dozen plain bagels and some specialty bagels in any case plain bagels is purchased. So, Anthony purchased at least 1 plain bagel. Thus, both statements combined together are SUFFICIENT.