In a school, 20% of the students are girls, and the rest are boys. If there are 750 boys, how many students are in the school in total?
Question
In a school, 20% of the students are girls, and the rest are boys. If there are 750 boys, how many students are in the school in total?
Solution
Step 1: Understand that the percentage of boys in the school is 100% - 20% = 80% because the rest of the students are boys.
Step 2: Understand that this 80% is equivalent to 750 boys.
Step 3: To find out the total number of students, which is 100%, set up a proportion to solve for x (total students):
80/100 = 750/x
Step 4: Cross-multiply to solve for x:
80x = 750100
Step 5: Solve for x by dividing both sides by 80:
x = (750*100) / 80
Step 6: Calculate the value to find x = 937.5.
Since the number of students cannot be a decimal, round it up to the nearest whole number. So, there are approximately 938 students in total in the school.
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