How would you solve this problem?

Question

The total cost of head phones, including 7% sales tax, was $35.15. What was the price of the head phones without tax?

Answer 1

35.15/1.07=$32.85

Answer 2

Well, since the cost of the head phones is now 107%, you multiply 7/100 by $35.15 and then subtract from $35.15 the result. I hope this has helped!

Answer 3

Tax + cost is 7% + 100% = 107%

So 107/100 = 35.15/p where p = price w/o tax

Answer 4

I would write an equation for the price of anything:

total price = price + 7% of price
or
total price = price*1.07

You know the total price: 35.15
So 35.15 = price*1.07
You can do the rest!

Answer 5

Let p represent the price of the headphones without tax. So p*1.07 will be the total price with tax. From the given information:

p*1.07 = 35.15

And dividing both sides by 1.07 gives:

p = 32.85

So this will be the original price.

Answer 6

Divide the total by 7% (or 7/100). So, 35.15 / (7/100) = 502.14

Answer 7

let's say X is the cost of the headphones pre-tax.
7% = 0.07, right?
the total cost then, is X + (0.07X). you have the pre-tax cost, and then you have 7% of the pre-tax cost as tax.

the equation is:
(1.07)X = 35.15

X = (35.15)/(1.07)

Answer 8

cost withouttax=35.15/1.07
=$32.85

Answer 9

cross multiplication
100% = 1
107% = 1.07

1.07 -----> 35.15
1.00 -----> X

X = 35.15 *1 / 1.07 = $32.85

Answer 10

1.07 x cost = 35.15
cost = $35.15/1.07