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24 June, 20:39

Solve by setting up a system of linear equations with 2 variables and 2 unknowns. Two hundred seventy six students enrolled in a freshmen-level chemistry class. By semester's end, 5 times the number of students passed as failed. Find the number of students who passed the chemistry course.

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  1. 24 June, 20:51
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    Let us say,

    x=number of students who passed

    y=number of students who failed

    total number of students = 276

    x+y=276 ... (1)

    We are given 5 times the number of students passed as failed.

    x=5y ... (2)

    plugging value of x from (2) in (1),

    5y+y=276

    6y=276

    y=46

    x=5y=46*5=230

    x=number of students who passed=230
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