I have a math question that I don't know how to figure out. Please help.?

Question

Q. You have $1000.00. You can shop all you want without going over. Calculate sales tax at 8.2%. Do not go over $1000.00.

What is the formula to find the answer?

Please explain how I should go about finding the answer. I am terrible at math so I have no idea how to calculate this.

Ok, but how do I figure it out on a calculator while I'm in the store?

$918.00 or $924.21 ??

What's the right answer?

How much is the most my items can subtotal?

Answer 1

You spend x dollars
Your sales tax is (8.2x)/100

x + (8.2x)/100 = 1000 because the most you can spend is $1000
(108.2 x)/100 = 1000
108.2x = 100000
x = 100000/108.2
= $924.21 you can spend

Answer 2

All you must find is what you REALLY have to spend. That would be the $1000.00 minus the maximum you would have to pay in taxes. So figure out what the maximum taxes would be (8.2% of $1000.00) and subtract that from $1000.00 For example if you had $1 and the tax rate was 6% you would take $1 times 6% (1 X 0.06) and get a total taxes of 6 cents subtract the 6 cents from $1 and get a maximum spending of 94 cents.

Answer 3

to solve this you need to make an equation. So write down what you know. You know that the total money you can spend is $1,000. so something equals $1,000: and that is why we must have a ?

? = $1,000

Now there are two things that add up to that one thousand dollars, the actual money you pay for your items (the price) and the tax.

tax + price = $1,000

So here's an equation but you cant solve it yet. There are two variables and whenever you have more than one variable you need another equation in order to solve both variables. The second equation is simply how the tax and the price are related. The tax is 8.2% of the price so you can make this equation:

tax = price * .082

So here are your two equations:

tax + price = $1,000
tax = price * .082

Now you can either solve by substitution or by adding them together. We'll use substitution so simply take what the tax equals in the second equation and plug it into the first equation:

(price * .082) + price = $1,000

(I just replaced "tax" with "price * .082")

Now you can solve the equation:

(price * .082) + price = $1,000

(.082) price + (1) price = $1,000

(1.082) price = $1,000

price = $1,000 / 1.082

price = $924.21

So now to find the sales tax all you have to do is plug price back into the first equation:

tax + ($924.21) = $1,000.00

tax = $1,000.00 - $924.21

tax = $75.79

There's your answer!

Answer 4

Okay, to solve this you need to make an equation. So write down what you know. You know that the total money you can spend is $1,000. so something equals $1,000:

? = $1,000

Now there are two things that add up to that one thousand dollars, the actual money you pay for your items (the price) and the tax.

tax + price = $1,000

So here's an equation but you cant solve it yet. There are two variables and whenever you have more than one variable you need another equation in order to solve both variables. The second equation is simply how the tax and the price are related. The tax is 8.2% of the price so you can make this equation:

tax = price * .082

So here are your two equations:

tax + price = $1,000
tax = price * .082

Now you can either solve by substitution or by adding them together. We'll use substitution so simply take what the tax equals in the second equation and plug it into the first equation:

(price * .082) + price = $1,000

(I just replaced "tax" with "price * .082")

Now you can solve the equation:

(price * .082) + price = $1,000

(.082) price + (1) price = $1,000

(1.082) price = $1,000

price = $1,000 / 1.082

price = $924.21

So now to find the sales tax all you have to do is plug price back into the first equation:

tax + ($924.21) = $1,000.00

tax = $1,000.00 - $924.21

tax = $75.79

There's your answer!

Answer 5

x is how much you can spend.
0.082x is the amount of the tax.

x + 0.082x must be equal to or less than 1000.
1.082x = 1000

divide both sides by 1.082, the amount you have to spend is

1000/1.082 = $924.21

If you buy an item costing $924.21 the sales tax will be $75.79 and the bill will be $924.21 + $75.79 which totals to $1000 exactly.

Answer 6

Figure out the maximum amount of tax that you would be paying.
1000 * 8.2% = $82
Subtract this from the total to get the amount of money you can spend = 1000 - 82 = $918

Answer 7

Since the total bill will be item cost + tax you simply do some easy algebra. Let x be the cost of the items, then the tax must be .082x , Now the total spent is x + .082x or 1.082x

Since this must equal $1000 , then 1.082x = 1000
and x (the cost of what is spent) is 1000/ 1.082

Answer 8

u multiply 1000 by 8.2 and then subtract your answer from 1000
step 1. 1000 step 2. 1000
x8.2 -your answer to step 1

Answer 9

you can shop for $924.2144 plus sales tax which exactly totals to 1000$ b.cuse the $1000 includes tax also
let the actual cost=x
x + 8.2%of x =1000
x+ (8.2*x)/100=1000
(100x+8.2x)/100=1000
108.2x=1000*100
x=100000/108.2
x=924.214..........

Answer 10

x+.082x=1000
Where x is the total of the items purchased and the .082x is the sales tax paid on the items.
Therefore,
1.082x=1000
and x=1000/1.082, or x=$924.21