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1) 1400 students in a school. The number of girls is 3/4 the number of boys. What’s the total number of students in other grades 16 of the girls and one fifths of the boys are in the grade 5?

1 answer

1) First, find the number of boys and girls in the school. Let x be the number of boys in the school. Therefore, the number of girls in the school is (3/4)x. Additionally, there are 1400 students in total, so x + (3/4)x = 1400. Multiplying by 4 to get rid of the fraction results in 4x + 3x = 5600, which simplifies to 7x = 5600. Dividing by 7 yields x = 800. So, the number of boys is 800 and the number of girls is (3/4)(800) = 600.
2) Calculate the number of students in grade 5 by finding 16 students out of the 600 girls and 1/5 of the 800 boys: 16 + (1/5)(800) = 16 + 160 = 176 students in grade 5. Therefore, the total number of students in other grades is 1400 - 176 = 1224 students.