Deric D. answered 02/02/16
Tutor
New to Wyzant
Professional, Analytical and Creative Thinker Specializing in Math
Hi Asia. Hope this is helpful.
Here is what we know:
The total paid is $120
The cost of the shoe is the total minus the tax.
Or you could say the cost of the shoe plus taxes on the shoe cost = $120
We know how much the taxes are.
They are 6.75% or 0.0675 (times cost of item)
Let's set this up as an equation.
Shoe Cost + (Shoe Cost times tax rate) = total cost
Let's make x = Shoe Cost
Let's clean up our formula and formalize it:
x + 0.0675x = 120
1.0675x = 120 {here we combined the x's}
x = 120/1.0675 {divide both sides by 1.0675 to isolate x}
x = $112.41
The shoe's retail price is $112.41.
Can you do the second part?
Its very similar...but you are dealing with a discount rather than a tax charge.
Its very similar...but you are dealing with a discount rather than a tax charge.