At a party, Bill made a jar of lemonade. 10% of the drink was spilled and Bill served the remaining of it. 70% of the remaining was finished by guests at the party. At the end of the party, there was only 540 ml left. Find out how much lemonade Bill made at first.
Question
At a party, Bill made a jar of lemonade. 10% of the drink was spilled and Bill served the remaining of it. 70% of the remaining was finished by guests at the party. At the end of the party, there was only 540 ml left. Find out how much lemonade Bill made at first.
Solution
Sure, let's solve this step by step:
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First, we know that the 540 ml of lemonade left is 30% of the amount served, because 70% was finished by the guests.
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To find out the total amount served, we can set up the equation: 0.30X = 540 ml, where X is the total amount served. Solving for X gives us X = 540 ml / 0.30 = 1800 ml.
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However, this is the amount after 10% was spilled. So, this 1800 ml represents 90% of the original amount.
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To find out the original amount, we can set up the equation: 0.90Y = 1800 ml, where Y is the original amount. Solving for Y gives us Y = 1800 ml / 0.90 = 2000 ml.
So, Bill originally made 2000 ml of lemonade.
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