SOLUTION: A woman buys three pairs of jeans for $99.84, including tax. If each pair of jeans cost $32, what was the sales tax rate?

Question 141340: A woman buys three pairs of jeans for $99.84, including tax. If each pair of jeans cost $32, what was the sales tax rate?
Answer by nabla(475) (Show Source): You can put this solution on YOUR website!
Notice that the problem can be represented by the following equation:
3x+y=99.84 where x are the three pairs of jeans, and y is the amount of tax paid.
If x=32,
3(32)+y=99.84
96+y=99.84
y=3.84
The amount of tax paid was $3.84. Now, each pair of jeans had a total tax of 3.84/3=$1.28. To find the tax rate then, we take 1.28/32=.04. This makes the tax rate 4%.
Check: 32*1.04=33.28
33.28*3=99.84
and 96*1.04=99.84
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