We want to find in which store we would pay less for the same pair of boots. Let's calculate the total cost of the boots at each store, starting with Store A. To calculate the dollar amount of the sales tax, we can use the percent equation.
part = percent * whole
We are given that at Store A, the boots cost $ 54.90 plus 6 % sales tax. Let p represent the dollar amount of the sales tax.
p = 6 % * $ 54.90
We need to write the percent as a decimal before we can solve the equation that we created. We can do this by ignoring the percent symbol and moving the decimal point two places to the left.
Therefore, 6 % is equal to 0.06.
p = 6 % * $ 54.90 [0.3em] ⇓ [0.3em]
p = 0.06 * $ 54.90
Now we can the equation for p. For simplicity, we will ignore the units for now.
We got that p≈ 3.29 is a solution to the equation. This means that the dollar amount of the tax is about $ 3.29. Now we can calculate the total cost of the boots.
$ 54.90 + $ 3.29 = $ 58.19
The boots cost about $ 58.19 at Store A. Now let's find the total cost of the boots at Store B. At this store, the boots cost $ 53.25 plus 7 % sales tax. Let's use the percent equation again.
part = percent * whole
⇓
p = 7 % * $ 53.25
Now we rewrite the percent as a decimal number.
p = 7 % * $ 53.25 [0.3em] ⇓ [0.3em]
p = 0.07 * $ 53.25
Next, we solve the equation for p.
We got that p≈ 3.73 is a solution to the equation. This means that the dollar amount of the tax at Store B is about $ 3.73. Let's calculate the total cost of the boots in Store B.
$ 53.25 + $ 3.73 = $ 56.98
Finally, let's compare the cost of the boots at each store.
ccc
Store A& &Store B
$ 58.19 & > & $ 56.98
As we can see, we would pay less for the boots at Store B.
