anonymous
  • anonymous
Ella purchased a game that was on sale for 12% off. The sales tax in her county is 6%. Let y represent the original price of the game. Write an expression that can be used to determine the final cost of the game. A. y − 0.12y B. 0.06(0.88y) C. 1.06(0.88y) D. y − 0.88y + 0.06y
Mathematics
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
I think its a. am I correct?
anonymous
  • anonymous
no
rhr12
  • rhr12
I think its d

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More answers

anonymous
  • anonymous
to decease a number by \(12\%\) multiply it by \(100\%-12\%=88\%=0.88\)
anonymous
  • anonymous
to increase a number by \(6\%\) multiply it by \(100\%+6\%=106\%=1.06\)
rhr12
  • rhr12
So, is it b?
anonymous
  • anonymous
so it is not D either to do both, multiply by \(1.06\times .88\)
anonymous
  • anonymous
item C
mathstudent55
  • mathstudent55
@beckyg111 The original cost is y To take off the 12% discount, you can subtract 0.12y from y, so y - 0.12y is the discounted price, but it does not include the tax. Also, y - 0.12y = 0.88y. The the reason why A is not the answer is that it does not include the tax.
mathstudent55
  • mathstudent55
When you add or subtract a percent to a number, you can just add or subtract the percent to 100% and then multiply the percent by the original number. To take 12% off the original price, you can do: 100% - 12% = 88% 88% of y = 0.88y 0.88y represents the original price discounted 12%. Now you need to add 6% tax. You can use the same method: 100% + 6% = 106% 106% of (0.88y) = ?

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