Question

After receiving a discount of 14.5% on its bulk order of toner cartridges, Johns’ Office Supply pays $4104. What was the price of the order before the discount? Round to the nearest dollar.Solve the problem by stating the equation you would use to solve and then solving it

Answer 1

The discount price is equal to the original price minus the percentage discount taken off.

Let OP = original price
4104 = OP - (.145)OP

Answer 2

Solve the equation for OP and that is your answer.

Answer 3

So I need to subtract 4104 - .145 = 4100. Is that correct?

Answer 4

4104 = OP(1 - .145)

Answer 5

OP = 4104/(1-.145)

Answer 6

thats the final answer?

Answer 7

Well, you have to compute the final answer, but yes.

Answer 8

If so, I really

Answer 9

If so, I am really confused

Answer 10

where did you get 1 from

Answer 11

Okay, let's say you want to buy something for that is $100 but the store is having a 25% off sale.

You can figure out how much the item will be if you take 100 - (.25)(100)

That's the original price minus the percentage off of the original price. That equals the discount price.

The problem you have has you do it in reverse.

Answer 12

Because the 1 is the original price.. 100% of the price.

Answer 13

If you have something that is 25% off, then you are really paying 100% - 25% = 75% of the original price or 1 - .25

Answer 14

So you can think of these types of problems like this.

Discount Price = Original Price x (1 - Percent Off)

Answer 15

do I actually subtract 1 - percent off

Answer 16

Yes, you need to convert the percent to a decimal and subtract it.

Answer 17

ok I get 0.855

Answer 18

OP = 4104/(1-.145)

Answer 19

4104 divided by .855 will be the original price.

Answer 20

4800

Answer 21

Okay, so now if you check your answer.

14.5% off of 4800 is 4800 - (.145)(4800)

That should equal 4104 if that is correct.

Answer 22

okay, thanks!