Question

On Tuesday Shanice bought five hats.On Wednesday half of all the hats that she had were destroyed.On Thursday there were only 17 left.How many Did she have on Monday.

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Tiffany

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From the given, we can setup an equation given by the two equations:
(1) Number of hats on Monday, x, and 5 new hats bought on Tuesday is equal to total number of hats, h
x+5 =h
(2) Half of the hats is equal to 17
\frac{1}{2}h=17
We can get x by substituting equation (1) into (2):
\frac{1}{2}\left(x+5\right)=17\xrightarrow{}x+5=34\xrightarrow{}x=34-5=29
Answer: 29 hats on Monday

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