A group of 9 people spend $78 to go to the movies adult tickets cost $10 each and student tickets cost $8 each how many adult tickets were purchased
put all those words into math:
a+s = 9
10a + 8s = 78
Now just solve for a.
To determine the number of adult tickets purchased, we can subtract the cost of the student tickets from the total amount spent.
Let's assume:
A = number of adult tickets purchased
S = number of student tickets purchased
From the given information:
A + S = 9 (since there are a total of 9 people)
10A + 8S = 78 (since the total cost of 10 adult tickets plus 8 student tickets is $78)
To solve this system of equations, we can use the method of substitution or elimination.
Let's solve it using the method of substitution:
From the first equation, we can rearrange it to express A in terms of S:
A = 9 - S
Substituting this value of A into the second equation:
10(9 - S) + 8S = 78
90 - 10S + 8S = 78
90 - 2S = 78
-2S = 78 - 90
-2S = -12
S = -12 / -2
S = 6
Now that we know the number of student tickets (S = 6), we can substitute this back into the first equation to find the number of adult tickets:
A + 6 = 9
A = 9 - 6
A = 3
Therefore, 3 adult tickets were purchased.