Question

Emma can spend $____ on items.(Round to the nearest cent as needed.)

Answer 1

To calculate the total price after applying the sales tax, we just need to apply the sales tax to the final values of the items.

Let x be how much she can spent on items.

To apply 5% in x, this means we want to calculate the total value plus 5%, that is, 105%.

So, we can multiply x by 105%.

However, we need to do this with the percentage in the decimal form:

`105\%=1.05`

So, the value of x after the sales tax will be:

`x\cdot1.05`

Since she has 80, this final price can be at most 80, so:

`80=x\cdot1.05`

Now, we just need to solve it.

To do it, let's first switch the sides so the variable x is to the left:

`\begin{gathered} 80=x\cdot1.05 \\ x\cdot1.05=80 \end{gathered}`

Now, we can divide both sides by 1.05 so that we nd up with only x on the left side:

`\begin{gathered} x\cdot1.05=80 \\ (x\cdot1.05)/(1.05)=(80)/(1.05) \\ x=76.19047\ldots \\ x\approx76.19 \end{gathered}`

So, she can spend approximately $76.19 on items.