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55% of the pupils in Sunshine Primary School take the school bus. 20% of the remaining pupils walk to school while the rest take public transport. A total of 1620 pupils take public transport. How many pupils take the school bus?

Question

55% of the pupils in Sunshine Primary School take the school bus. 20% of the remaining pupils walk to school while the rest take public transport. A total of 1620 pupils take public transport. How many pupils take the school bus?

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Solution 1

To solve this problem, we need to work backwards from the information given.

Step 1: We know that 1620 pupils take public transport. These pupils represent 80% of the pupils who do not take the school bus (since 20% walk to school).

Step 2: To find out the total number of pupils who do not take the school bus, we can set up the equation 1620 = 0.80 * X, where X is the total number of pupils who do not take the school bus. Solving for X gives us X = 1620 / 0.80 = 2025 pupils.

Step 3: These 2025 pupils represent 45% of the total number of pupils (since 55% take the school bus). So, to find the total number of pupils, we can set up the equation 2025 = 0.45 * Y, where Y is the total number of pupils. Solving for Y gives us Y = 2025 / 0.45 = 4500 pupils.

Step 4: Finally, to find the number of pupils who take the school bus, we can calculate 55% of the total number of pupils. This gives us 0.55 * 4500 = 2475 pupils.

So, 2475 pupils take the school bus.

This problem has been solved

Solution 2

To solve this problem, we need to work backwards from the information given.

  1. We know that 1620 pupils take public transport. These pupils represent the 80% of students who do not take the school bus (100% - 20% who walk = 80%).

  2. To find out the total number of students who do not take the school bus, we divide the number of students who take public transport by 80% (or 0.8).

    1620 / 0.8 = 2025 pupils

  3. These 2025 pupils represent the 45% of total students who do not take the school bus (100% - 55% who take the school bus = 45%).

  4. To find the total number of students, we divide the number of students who do not take the school bus by 45% (or 0.45).

    2025 / 0.45 = 4500 pupils

  5. Now, to find out how many students take the school bus, we calculate 55% of the total number of students.

    55% of 4500 = 0.55 * 4500 = 2475 pupils

So, 2475 pupils take the school bus.

This problem has been solved

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