Carcass wrote:
The sum of the pre-tax costs of Item A and Item B is $ 300. In Alumba, each item would be charged a flat 7%. In Aplandia, Item A is subject to 5% tax and Item B is subject to 10% tax. If the tax in Aplandia on the purchase of both items is exactly $ 3 more than it is in Alumba, then what is the pre-tax price of Item A?
Write out what we know mathematically:
PreTax: A + B = 300
Alumba: (A+B)1.07 = x
Aplandia: A(1.05) + B(1.10) = y
y - a = 3
What is A?
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How to solve:
(300)*1.07 = 321 = x
so y = 3 + 321 = 324
plug into Aplandia and solve for B.
(324 - A*1.05)/1.10 = B
substitue into the PreTax
A + (324- A*1.05)/1.10 = 300
A(1.10) + 324 - A(1.05) = 330
A*0.05 = 6
A * (1/20) = 6
A = 120.