A bottle and a cork together cost $1.00. The bottle cost 90 cents more than the cork. How much does the cork cost?

Bottle - 95 cents
Cork - 5 cents

How would you write an equation for this?

let the cost of the cork be x cents

then the cost of the bottle is x+90 cents

equation: x + x+90 = 100

C is the cost of cork.

90+C + C=100

Thank you sooooo much!!!

thank you!

To write an equation for this problem, let's denote the cost of the cork as "x". Since it is given that the bottle costs 90 cents more than the cork, we can represent the cost of the bottle as "x + 90".

Now, we are told that the bottle and the cork together cost $1.00. So, we can write the equation as:

x + (x + 90) = 100

Simplifying this equation gives:

2x + 90 = 100

Subtracting 90 from both sides of the equation:

2x = 10

Dividing both sides by 2:

x = 5

Therefore, the cork costs 5 cents.