Final answer:
To find the percentage of boys in a class of 28 students where 12 are girls, we subtract 12 from 28 to get 16 boys. Using equivalent fractions, we find that 16/28 can be converted to a percent, resulting in approximately 57.1% of the class being boys when rounded to a tenth of a percent.
Step-by-step explanation:
To calculate the percentage of boys in the class, we first need to determine the total number of boys. With 28 students in the class and 12 girls, we subtract the number of girls from the total number of students: 28 - 12 = 16 boys.
Now, to calculate the percentage, we will use the equivalent fractions method where one fraction has a denominator of 100 to represent a percentage.
Next, we set up the fraction of boys to total students, which is 16/28, and we want to find an equivalent fraction with a denominator of 100 to represent the percentage of boys.
So, the equation becomes x/100 = 16/28. By cross-multiplying, we get 28x = 1600. To solve for x, we divide 1600 by 28, which gives us the percentage of boys in the class.
When we do the calculation, we find that x ≈ 57.1% (rounded to a tenth of a percent), which means that approximately 57.1% of the students in the class are boys.