admission to the school fair is $2.50 for students and $3.75 for others. if 2848 admissions were col

Discussion in 'Calculator Requests' started by math_celebrity, Jul 21, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    admission to the school fair is $2.50 for students and $3.75 for others. if 2848 admissions were collected for a total of 10,078.75, how many students attended the fair

    Let the number of students be s and the others be o. We're given two equations:
    1. o + s = 2848
    2. 3.75o + 2.50s = 10078.75
    Since we have no coefficients for equation 1, let's solve this the fast way using substitution. Rearrange equation 1 by subtracting o from each side to isolate s
    1. o = 2848 - s
    2. 3.75o + 2.50s = 10078.75
    Now substitute equation 1 into equation 2:
    3.75(2848 - s) + 2.50s =10078.75

    To solve for s, we type this equation into our search engine and we get:
    s = 481
     

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