The number of adults and students attendant the sporting event held at a high school are 65 and 70 respectively .
What is elimination method?
In the elimination method, we eliminate any one of the variables by using basic arithmetic operations and then simplify the equation to find the value of the other variable. Then we can put that value in any of the equations to find the value of the variable eliminated.
According to the question
A sporting event held at a high school had 135 attendees.
In which adults and students are there .
Let adults be a
and students be s
Therefore,
The equation is
a + s = 135 ---------------------------(1)
Now,
The event earned a total of $930.
Admission to the event was $10 for adults and $4 for students.
i,e
10a + 4s = 930 ---------------------------(2)
Now , Using elimination method to solve both equations
a + s = 135 ---------------------------(1)
10a + 4s = $930 -------------------(2)
Step1: Multiplying equation 1 by 10
i,e
10a + 10s = 1350 -------------------(3)
Step2: Subtract equation (2) from (3)
10a + 10s = 1350 -------------------(3)
-10a - 4s = -930 -------------------(2)
6s = 420
s = 70
Now , Substituting the value of s in equation (1)
a + s = 135 ---------------------------(1)
a + 70 = 135
a = 65
Hence, The number of adults and students attendant the sporting event held at a high school are 65 and 70 respectively .
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