Jennifer drinks 50% of a bottle of juice and her friend Jane then drinks 40% of the remaining juice, leaving 450 ml of juice in the bottle. How much juice did the bottle originally contain? Record your answer in mL with no units.
Question
Jennifer drinks 50% of a bottle of juice and her friend Jane then drinks 40% of the remaining juice, leaving 450 ml of juice in the bottle. How much juice did the bottle originally contain? Record your answer in mL with no units.
Solution
To solve this problem, we need to work backwards from the information given.
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We know that after Jane drank 40% of the remaining juice, there was 450 ml left. This means that 450 ml represents 60% of the juice that was left after Jennifer drank her portion (since 100% - 40% = 60%).
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To find out how much juice was left after Jennifer drank, we can set up the equation: 450 ml = 0.60 * X, where X is the amount of juice left after Jennifer drank. Solving for X, we get X = 450 ml / 0.60 = 750 ml.
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Now, we know that the 750 ml is 50% of the original amount of juice in the bottle (since Jennifer drank 50% of the original amount). So, we can set up the equation: 750 ml = 0.50 * Y, where Y is the original amount of juice in the bottle. Solving for Y, we get Y = 750 ml / 0.50 = 1500 ml.
So, the bottle originally contained 1500 ml of juice.
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