If a bottle and its cork cost 1.10 the costs 1.00 more that how much does cost. HINT answer is not 10 cents?

Let X be the cost of the bottle

Then the cost of the cork is X+1

Therefore, X + (X + 1) = 1.10

Solving for X

2X+ 1 = 1.10

2X = 1.10 - 1

2X = 0.10

X = 0.10/2

X = 0.05

Therefore, the cost of the cork is 0.05