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Miko and her friends made cupcakes which were to be sold to raise funds for charity. 40% of the cupcakes were sold on the first day. 70% of the remaining cupcakes were sold on the second day. How many cupcakes were there initially if there were 108 cupcakes left after the second day?

Question

Miko and her friends made cupcakes which were to be sold to raise funds for charity. 40% of the cupcakes were sold on the first day. 70% of the remaining cupcakes were sold on the second day. How many cupcakes were there initially if there were 108 cupcakes left after the second day?

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Solution

Let's solve this step by step:

  1. First, we know that 108 cupcakes were left after 70% of the remaining cupcakes were sold on the second day. This means that the 108 cupcakes represent the 30% that were not sold on the second day.

  2. To find out how many cupcakes were left at the beginning of the second day, we can set up the equation: 0.30X = 108, where X is the number of cupcakes at the beginning of the second day. Solving for X gives us X = 108 / 0.30 = 360 cupcakes.

  3. Now, we know that the 360 cupcakes were the 60% that were left after 40% were sold on the first day.

  4. To find out how many cupcakes were there initially, we can set up the equation: 0.60Y = 360, where Y is the initial number of cupcakes. Solving for Y gives us Y = 360 / 0.60 = 600 cupcakes.

So, there were initially 600 cupcakes.

This problem has been solved

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