A bottle of honey costs S/ 180, if the honey costs S/ 100 more than the bottle. How much do you pay for the bottle? step by step explanation in detail

To determine how much you pay for the bottle, let's set up an equation based on the information given: Let B be the cost of the bottle, and H be the cost of the honey. According to the information provided: The cost of honey (H) is S/100 more than the cost of the bottle (B). This can be written as: H = B + S/100 The total cost of the bottle of honey is S/180, so you can write this as: B + H = S/180 Now, we'll substitute the expression for H from the first equation into the second equation: B + (B + S/100) = S/180 Combine like terms: 2B + S/100 = S/180 To solve for B, isolate B on one side of the equation: 2B = S/180 - S/100 First, find a common denominator for the fractions: 2B = (5S/900) - (9S/900) Now, subtract the fractions: 2B = (5S - 9S)/900 2B = (-4S)/900 Now, divide both sides by 2 to solve for B: B = (-4S)/(2 * 900) B = (-2S)/900 B = -(S/450) So, the cost of the bottle (B) is -(S/450). This means you pay S/450 for the bottle.