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40% of the pupils who took part in a holiday camp were from Primary 5.55% of the remaining pupils were from Primary 6 and the rest of the 54 pupils were from Primary 4.How many pupils took part in the holiday camp?

Question

40% of the pupils who took part in a holiday camp were from Primary 5.55% of the remaining pupils were from Primary 6 and the rest of the 54 pupils were from Primary 4.How many pupils took part in the holiday camp?

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Solution 1

Let's break down the problem step by step:

  1. We know that 40% of the total number of pupils were from Primary 5. This means that 60% of the total number of pupils were either from Primary 6 or Primary 4.

  2. We also know that 55% of the remaining 60% were from Primary 6. This means that 45% of the remaining 60% were from Primary 4.

  3. We know that the number of pupils from Primary 4 is 54.

  4. Now, we can set up an equation to find the total number of pupils. If 45% of the remaining 60% is 54, we can represent this as: 0.45 * 0.60 * Total number of pupils = 54

  5. To find the total number of pupils, we can rearrange the equation to solve for the total number of pupils: Total number of pupils = 54 / (0.45 * 0.60)

  6. Solving the equation gives us the total number of pupils: Total number of pupils = 200

So, 200 pupils took part in the holiday camp.

This problem has been solved

Solution 2

Let's break down the problem step by step:

  1. We know that 40% of the total number of pupils were from Primary 5. Let's denote the total number of pupils as X.

  2. We also know that 55% of the remaining pupils (which is 60% of the total, because 100% - 40% = 60%) were from Primary 6.

  3. The rest of the pupils, which is

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