Set up 2 equations that can be used and solve. Phil reported that the receipt from a recent concert totaled $916 furthermore he announced that 560 people attended the concert. Students were charged $1.25 each for admission to the concert and adults were charged $2.25 eat how many adults and how many children attend the concert
letting a be the number of adults and s the number of students,
a + s = 560
2.25a + 1.25s = 916.00
To solve this problem, we can use two equations.
Let's assume the number of adults who attended the concert is 'A', and the number of students (children) is 'S'.
Equation 1: The total cost of admission for adults and children is $916.
The cost for adults is given as $2.25 each, so the total cost of admission for adults is 2.25A.
The cost for students (children) is given as $1.25 each, so the total cost of admission for students is 1.25S.
So, the first equation is:
2.25A + 1.25S = 916
Equation 2: The number of people who attended the concert is 560.
The number of adults is given as 'A', and the number of students is given as 'S', so the total number of people who attended is A + S.
So, the second equation is:
A + S = 560
Now, you can solve these two equations to find the values of A and S.
You can use any method you prefer to solve the system of equations. For example, you can use substitution, elimination, or graphing.
Let's use the substitution method:
From equation 2, we have A = 560 - S.
Substitute this value of A into equation 1:
2.25(560 - S) + 1.25S = 916
Now, simplify and solve for S:
1260 - 2.25S + 1.25S = 916
1260 - 916 = 2.25S - 1.25S
344 = 1S
S = 344
Now, substitute the value of S back into equation 2 to find A:
A + 344 = 560
A = 560 - 344
A = 216
Therefore, there were 216 adults and 344 children who attended the concert.