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
D. y − 0.88y + 0.06y
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to decease a number by \(12\%\) multiply it by \(100\%-12\%=88\%=0.88\)
to increase a number by \(6\%\) multiply it by \(100\%+6\%=106\%=1.06\)
So, is it b?
so it is not D either
to do both, multiply by \(1.06\times .88\)
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.
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) = ?