I am getting so frustrated with this reocurring dilemma.
The following problem is from OG PS.
Diana bought a stereo for $530, which was the retail price plus 6 percent sales tax. How much money could she have saved if she had bought the stereo at the same retail price in a neighboring state where she would have paid a sales tax of 5 percent?
I know the set-up x + .06x = 530
1.06x = 530
x = 530/1.06
This is the part that is my personal dilemma. How to divide this last part? I cannot come up with a useful shortcut. Also, this is not exactly a problem that you can eyeball the answer for. Because you need the exact amount, then calculate by .05, then subtract and get the exact savings.
Dealing with a percentage problem
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- AleksandrM
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Problems where calculators are not allowed usually are in forms of multiples of numerator or the denominator. If not then you quickly have to guess, how many times is the numerator of the denominator or vice-versa. It is then easier to get close to the answer.
In this case 106 is 2 times 53.
In this case 106 is 2 times 53.