A county has two elementary schools, both of which have an after-school program for the convenience of working parents. In school A, of the children attend the after-school program; in school of the children attend the after-school program. If school A has 600 students and school B has 900 students , then what is the fraction of elementary school students in the county who attend the after -school program ?

8/15

Step-by-step explanation:

Given that school A has 600 students and school B has 900 students.

As in School A, 1/3 of the children attend the after-school program.

So, the number of students in school A, who attend the after-school program, n_A= 1/3 x 600 = 200.

As in School B, 2/3 of the children attend the after-school program.

So, the number of students in school B, who attend the after-school program, n_B= 2/3 x 900 = 600.

Total number of elementary school students in the county who attend the after -school program= n_A +n_B = 200 + 600 = 800.

Total number of elementary school students in the county,

N = 600+900=1500

Hence, the fraction of elementary school students in the county who attend the after-school program = 800/1500 = 8/15.

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the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this