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Hannah was saving for a new snowboard. the one she wanted originally cost $ 109. it had been marked down 10% and then another 12%. a tax of 6% was added to final sale price. if Hannah had $90, did she have enough to buy the snowboard? Explain your answer.

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apologiabiology
so marked down 10 then 12 so 10+12=22
mark down total is 22%
100-22=78
78% of 109=0.78 times 109=85.02
tax of 6%
6+100=106%

85.02 times 1.06=90.1212 or about 90.12
90<90.12
no she is short 12 cents
First you would find the 10% discount of $109, which is equal to 90% of $109 or .9*$109 = $98.10.

You would then take $98.10 and find the 12% discount with is equal to 88% of $98.10 or .88*$98.10 = $86.33

Then you would add a 6% sales tax would would be 106% of $86.33 or 1.06*$86.33 = $91.51

Thus, she did not have enough to buy, and was $1.51 short. 

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