After a discount of 10%, the price of a pair of jeans, including tax, was $69.62. The following equation can be used to find x, the price of the pair of jeans without the discount.

x - 0.1x + 0.07(x - 0.1x) = 69.62

What is the price of the pair of jeans without the discount?

Question

After a discount of 10%, the price of a pair of jeans, including tax, was $69.62. The following equation can be used to find x, the price of the pair of jeans without the discount.

x - 0.1x + 0.07(x - 0.1x) = 69.62

What is the price of the pair of jeans without the discount?

thesecret20111 · Answer

Try working out the 0.07(x-0.1x) part first

mikezack123 · Answer

0.07x-0.007

mikezack123 · Answer

?

thesecret20111 · Answer

Yes very good :)

mikezack123 · Answer

thats all?

thesecret20111 · Answer

Ok now we have x - 0.1x + 0.07x-0.007= 69.62

thesecret20111 · Answer

Can you simplify that further?

mikezack123 · Answer

no?

thesecret20111 · Answer

x - 0.1x = 0.9x

thesecret20111 · Answer

Now we have 0.9x + 0.07x-0.007= 69.62

thesecret20111 · Answer

0.9x + 0.07x = 0.97x

thesecret20111 · Answer

So now we have 0.97x-0.007= 69.62 now can you see what we need to do next?

mikezack123 · Answer

x=0.007?

thesecret20111 · Answer

Not quite.. Lets do this step by step so we don'[t miss anything

mikezack123 · Answer

ok

thesecret20111 · Answer

We need add 0.007 to both sides. That gives us 0.97x= 69.627

mikezack123 · Answer

wait the anser is $70.58?

thesecret20111 · Answer

It will be close to that, yes. I'm not sure if that'll be the exact answer though.

mikezack123 · Answer

oh okay, lets do it step by step like u said. :)

thesecret20111 · Answer

Ok now we need to divide both sides by 0.97 so that we get x by itself.

thesecret20111 · Answer

So that would be 0.97x/0.97= 69.627/0.97
This will give us x=69.627/0.97

mikezack123 · Answer

ok so its x=71.78

mikezack123 · Answer

?

thesecret20111 · Answer

Yes :)

thesecret20111 · Answer

So now you answer in a sentence

thesecret20111 · Answer

The total price of the pair of jeans is $71.78 before the discount.

mikezack123 · Answer

thats odd, :/ these are the multiple choice answers
 $70.58

 $72.29

 $74.86

 $80.02

thesecret20111 · Answer

Sorry! I must've made an error somewhere :(

thesecret20111 · Answer

I'll try to find it.

mikezack123 · Answer

thanks so much! you're a big help! :)

thesecret20111 · Answer

Ok so the first step is 
x - 0.1x + 0.07(x - 0.1x) = 69.62 = x - 0.1x + 0.063x = 69.62
next step:
 x - 0.1x + 0.063x = 69.62 = 0.9x+ 0.063x = 69.62
next step:
0.9x+ 0.063x = 69.62 = 0.963x=69.62
next step:
0.963x/0.963=69.62/0.963 =x = 72.29

mikezack123 · Answer

Thanks so much! :)  you were a big help!

thesecret20111 · Answer

I've done it a different way so there must have been an error somewhere in the old working out.

thesecret20111 · Answer

No problem

thesecret20111 · Answer

Thanks, and good luck :)