Jefferson Middle School has the same number of boys and girls. 34\frac{3}{4} of the girls and 23\frac{2}{3} of the boys went on a field trip. What fraction of the students on the field trip were girls?
A. 12\frac{1}{2}
B. 917\frac{9}{17}
C. 713\frac{7}{13}
D. 23\frac{2}{3}
E. 1415\frac{14}{15}

Fraction and percentage word problems中文
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Worked solution

1. 2016 AMC 8 官方解析

翻译：杰弗逊中学女孩女孩人数相同．女孩的 34\frac{3}{4} 和男孩的 23\frac{2}{3} 都参加了农场旅行，那么所有参加旅行的学生中，女孩占了（ ）．
设男生女生人数均有12人，则女生有 12×34=912 \times \frac{3}{4} = 9 (人) 参加旅行，男生有 12×23=812 \times \frac{2}{3} = 8 (人) 参加，则女生占 9÷(9+8)=9179 \div (9+8) = \frac{9}{17} ．

Answer

B. 917\frac{9}{17}

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