You buy a bottle of juice for $1.00. The juice costs .90 cents more than the empty bottle. How much does the empty bottle cost?? The answer is not 10 cents, or $1.00

Let's solve this step-by-step:

Let's assume that the cost of the empty bottle is "x" dollars.

According to the given information, the juice costs 90 cents more than the empty bottle. So, the cost of the juice is "x + 0.90" dollars.

The total cost of the juice and the empty bottle is $1.00. So, we can write the equation:

x + (x + 0.90) = 1.00

Simplifying the equation:

2x + 0.90 = 1.00

Subtracting 0.90 from both sides:

2x = 1.00 - 0.90

2x = 0.10

Dividing both sides by 2:

x = 0.10/2

x = 0.05

The empty bottle costs $0.05.

To find the cost of the empty bottle, let's break down the given information step by step.

Let's assume the cost of the empty bottle is 'x' cents. According to the given information, the juice costs 90 cents more than the empty bottle. So, the cost of the juice would be 'x + 90' cents.

Now, it is stated that the total cost of the juice and the empty bottle is $1.00. Therefore, we can set up the equation:

x + (x + 90) = 100

Combining like terms, we get:

2x + 90 = 100

Next, let's isolate the variable by subtracting 90 from both sides:

2x = 100 - 90
2x = 10

Finally, divide both sides of the equation by 2 to solve for x:

x = 10 / 2
x = 5

Hence, the empty bottle costs 5 cents, not 10 cents.

Do you really mean 0.90 cents for your second number? or 0.90 dollars? (90 cents)

I will assume the latter.

Empty bottle cost + Juice cost = 1.00

Empty bottle cost + (Empty bottle cost + 0.90) = 1.00

2*(empty bottle cost) = 0.10
empty bottle cost = 0.05