Trey has a peanut allergy, so he eats granola bars that are nut free. A box of nut-free granola bars costs $4.50 after a 10% discount. Trey wants to know the regular price of the granola bars.

Answer: The regular price of the granola bars were $5 each.

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given:

Discount = 10% = 0.10 (decimal form, 10/100 = 0.1) Cost after discount: $4.50

So, the original price of the granola bar (x) multiplied by 0.9 (since 100% is the full price, 1 - 0.1 = 0.9) equals to 4.50 (cost after discount)

Mathematically speaking

x (1 - 0.1) = 4.50

x 0.9 = 4.50

x = 4.50/0.9

x = 5

Feel free to ask for more if needed or if you did not understand something.

Answer: The regular or normal price of the nut - free granola bars is $5.00

Step-by-step explanation:

Firstly, a discount simply refers to the reduction in the regular or normal price of a commodity or service.

In this case, Trey purchased his preferred nut - free granola bars but he did not buy the nuts at the usual price. The price or cost of the nut - free granola bars were reduced by 10 percent.

Now, let us denote the regular or normal cost of the nut - free bars as $x.

Since the original price was reduced by 10%, then:

10/100 * x = x/10 (This is 10% of the cost of the nut - free bars)

Let us now subtract 10% of the original cost of the nut - free granola bars from the regular cost of the bars. This will now be equal to the price that Trey finally purchased the bars.

x - (x/10) = $4.50

All we need to do now is to solve for "x" and we will discover the original cost of the bars.

(10x - x) / 10 = 4.50

9x/10 = 4.50

9x = 4.50 * 10

9x = 45

x = 45/9

x = $5 (This is the normal price of the bars).