Select the correct answer4/7 of the girls and 1/5 of the boys of a primary school participated in the annual sports. If the number of participating students is 420 out of which 124 are boys, what is the total number of students in the primary school?Options828716802834854

To solve this problem, we first need to find out the number of girls who participated in the annual sports. We know that the total number of participating students is 420, out of which 124 are boys. So, the number of girls who participated is 420 - 124 = 296.

We know that this number, 296, represents 4/7 of the total number of girls in the school. To find the total number of girls, we can set up the equation 4/7 * G = 296, where G is the total number of girls. Solving for G gives us G = 296 * 7/4 = 518.

Similarly, the number of boys who participated, 124, represents 1/5 of the total number of boys in the school. Setting up the equation 1/5 * B = 124, where B is the total number of boys, and solving for B gives us B = 124 * 5/1 = 620.

Adding the total number of boys and girls gives us the total number of students in the school, which is 518 + 620 = 1138.

So, the correct answer is 1138.

To solve this problem, we first need to find out the number of girls who participated in the annual sports. We know that the total number of participating students is 420, and out of these, 124 are boys. So, the number of girls who participated is 420 - 124 = 296.

We know that these 296 girls represent 4/7 of all the girls in the school. To find the total number of girls, we can set up the equation:

296 = 4/7 * total_girls

Solving for total_girls gives us total_girls = 296 * 7/4 = 518.

Similarly, the 124 boys who participated represent 1/5 of all the boys in the school. Setting up the equation:

124 = 1/5 * total_boys

Solving for total_boys gives us total_boys = 124 * 5/1 = 620.

Adding the total number of boys and girls gives us the total number of students in the school:

total_students = total_girls + total_boys = 518 + 620 = 1138.

So, the correct answer is 1138. However, this option is not given in the question. There might be a mistake in the question or the options provided.