Q2. - Algebra 1

Question

Determine whether you need an estimate or an exact answer. Then use the four-step problem-solving plan to solve.

SHOPPING The regular price of a T-shirt is \(9.99. It is on sale for 15% off. Sales tax is 6% If you give the cashier a \)10 bill, how much change will you receive?

Step-by-Step Solution

Answer

Amount of change is $0.1

Step 1. Calculate the T-shirt price when an offer is applied.

$\begin{array}{l}P\text{'}=\text{T-shirt regular price}-15\%\text{ off on price}\\ P\text{'}=9.99-\left(9.99\times \frac{15}{100}\right)\\ P\text{'}=9.99-1.4985\\ P\text{'}=8.4015\end{array}$

Step 2. Calculate the T-shirt price when sales tax is applied.

The actual price of the T-shirt.

$\begin{array}{l}P=P\text{'}+\left(P\text{'}\times \frac{6}{100}\right)\\ P=8.4015+\left(8.4015\text{'}\times \frac{6}{100}\right)\\ P=8.9\end{array}$

Step 3. The formula for change amount.

$\text{Change}=\text{ Amount given to the cashier}-\text{Actual price of T-shirt}$

Step 4. Evaluate the change amount.

$\begin{array}{l}change=10-8.9\\ change=0.1\end{array}$

Therefore, amount received back is $0.1