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48% of the pupils at a certain school are girls. 25% of the girls and 50% of the boys at this school travel to school by bus. What percentage of the whole school travels by bus?

User Mbigras
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Final answer:

The percentage of the whole school that travels by bus is calculated by finding the number of girls and boys who travel by bus (which is 12 girls and 26 boys), and dividing it by the total number of students (100). The result shows that 38% of the school travels by bus.

Step-by-step explanation:

To determine what percentage of the whole school travels by bus, we need to use the given percentages to calculate the fraction of each group (girls and boys) that travels by bus and then combine these to get the overall percentage.

Let's assume there are 100 students in the school for simplicity. According to the question, 48% are girls, which equals 48 girls. If 25% of the girls travel by bus, that means 25% of 48 girls, which is 12 girls, travel by bus. Similarly, there are 52 boys in the school (as 100 - 48 = 52), and if 50% of the boys travel by bus, then 26 boys (50% of 52) travel by bus.

To find the total percentage of students who travel by bus, we add the numbers of girls and boys who travel by bus and divide by the total student population, then multiply by 100 to get the percentage:

(12 girls + 26 boys) / 100 students * 100 = 38%

Therefore, the percentage of the whole school that travels by bus is 38%.

User Jordan Benge
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