Question

Dalia buys a winter jacket at a used clothing store that costs $30. Both questions are below

Answer 1

To find:

1. The equation that represents the total cost of any item bought in Idaho.

2. the original price of the backpack.

Solution:

1.

The sales tax in Idaho is 6%. Let the price of the item bought is p.

So, the sales tax on the item will be 0.06p. So, the total cost c is:

`\begin{gathered} c=p+0.06p \\ c=1.06p \end{gathered}`

Thus, the answer is c = 1.06p.

2.

Now, the cost of backpack including the sales tax is $33.39. So, the value of c is 33.39.

Put c = 33.39 in the equation c = 1.06p and find the value of p.

`\begin{gathered} 33.39=1.06p \\ (33.39)/(1.06)=p \\ 31.05=p \end{gathered}`

Thus, the original price is $31.05.