Question

Can someone help me? Q: Here is the sales slip from Sharon's shopping trip. Sharon paid a total of $25.52 which included sales tax on all items.What tax rate did Sharon pay? Round your answer to the nearest percent. *Receipt* ToothPaste $3.45, Book $8.95, Wallet $5.50, Game $5.95.. *Answer set* A) 6% B)7 C)8% D)9%.... Anyone know the answer?

Answer 1

Can you add the prices of the 4 items?

Answer 2

*Receipt* ToothPaste $3.45, Book $8.95, Wallet $5.50, Game $5.95.

Answer 3

Right. Add those 4 prices up.

Answer 4

Alright hang on

Answer 5

$23.85

Answer 6

Good.
The total cost of the items without tax is $23.85.
Sharon paid $25.52 including tax.
That means that the difference between $25.52 and $23.85 was the tax.
Now subtract $25.52 - $23.85 to find out how much tax Sharon paid.

Answer 7

k

Answer 8

$1.67

Answer 9

Great.
Now we have one more step to do.
We need to find out what percent of $23.85 is $1.67?

Answer 10

Right

Answer 11

The total price Sharon paid without tax was the total price of the items.
The total is 100%.
The amount she paid in tax, $1.67, is a percentage of $23.85.
We can find the percentage using a proportion.

Answer 12

Okay

Answer 13

This is how we think of the proportion.

I will use x as the unknown percentage.

100% is to $23.85 as x is to $1.67

Written as a proportion, we get:

\(\dfrac{100}{23.85} = \dfrac{x}{1.67} \)

Answer 14

Now we solve the proportion.
Do you know how to solve a proportion?

Answer 15

I dont think so haha

Answer 16

Ok, let's do it together.
We use a method called cross multiplication.
We multiply across and we set the products equal.
The we solve for x.
I'll use a drawing to make it easier for you to see the cross multiplication step.

Answer 17

Thanks

Answer 18

Here is the original equation of our proportion.