Question

Lindsay bought 3 shirts for $15 each. the sales tax in Indiana is 7%. What is the total cost of her purchase, including tax?
1 show steps for getting the cost of the three shirts before tax
2 show steps for calculating the amount of sales tax (in dollars)
3 show steps for getting the total cost of all three shirts including tax.
but lets say she has $50 how much change will she get back use the 3 steps to get the answer

Answer 1

Sure, let's break it down step by step.

### Step 1: Calculate the cost of the three shirts before tax

To find the total cost of the shirts before tax, we multiply the price of one shirt by the number of shirts Lindsay bought:

\[
\text{Cost of 1 shirt} = \$15
\]
\[
\text{Number of shirts} = 3
\]
\[
\text{Total cost before tax} = \text{Cost of 1 shirt} \times \text{Number of shirts} = 15 \times 3 = 45
\]

So, the total cost of the three shirts before tax is **$45**.

### Step 2: Calculate the amount of sales tax (in dollars)

Next, we calculate the total sales tax by applying the sales tax rate to the cost before tax:

\[
\text{Sales tax rate} = 7\% = 0.07
\]
\[
\text{Sales tax} = \text{Total cost before tax} \times \text{Sales tax rate} = 45 \times 0.07 = 3.15
\]

So, the amount of sales tax is **$3.15**.

### Step 3: Calculate the total cost of the three shirts including tax

Now, we add the sales tax to the total cost before tax to find the total cost including tax:

\[
\text{Total cost including tax} = \text{Total cost before tax} + \text{Sales tax} = 45 + 3.15 = 48.15
\]

So, the total cost of all three shirts, including tax, is **$48.15**.

### Step 4: Calculate the change Lindsay will receive

If Lindsay has $50, we can calculate the change she will receive after her purchase.

\[
\text{Amount Lindsay has} = 50
\]
\[
\text{Total cost including tax} = 48.15
\]
\[
\text{Change} = \text{Amount Lindsay has} - \text{Total cost including tax} = 50 - 48.15 = 1.85
\]

So, Lindsay will receive **$1.85** in change.