We want to find how much change Ms. Taylor should have received for her purchase. Let's start by calculating the dollar amount of the sales tax using the percent equation.
part = percent * whole
We are given that Ms. Taylor bought a water tube that costs $ 87 plus 9 % sales tax. Let p represent the dollar amount of the sales tax.
p = 9 % * $ 87We 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, 9 % is equal to 0.09.
p = 9 % * $ 87 [0.3em] ⇓ [0.3em]
p = 0.09 * $ 87
Now we can solve the equation for p. For simplicity, we will ignore the units for now.
We got that p= 7.83 is a solution to the equation. This means that Ms. Taylor paid $ 7.83 in sales tax. Now we can calculate the total cost of the tube.
$87 + $ 7.83 = $ 94.83
The total cost of the tube with tax is $ 94.83. Ms. Taylor gave the cashier five $20 bills. Let's find how much change she should have received.
5* $ 20 - $ 94.83 = $ 100 - $ 94.83 = $ 5.17
We got that she should have received $ 5.17 in change, so the correct answer is B.
