Respuesta :
Answer: 27 children, 70 adults
Step-by-step explanation:
Mega Movies hosted a film premiere on Friday and charged $9 for adults and $5 for children.
97 adults and children attended, and a total of $765 was made in ticket sales.
Let's represent adults with a
Let's represent children with c
a + c = 97 .................... i
9a + 5c = 765 ............. ii
Multiply equation I by 9
Multiply equation ii by 1
9a + 9c = 873 .............. iii
9a + 5c = 765 .............. iv
Subtract equation iv from iii
4c = 108
c = 108/4
c = 27
There are 27 children
From equation I
a + c = 97
a + 27 = 97
a = 97-27
a = 70
There are 70 adults
Answer:
70 adults and 27 children went to the film premiere.
Step-by-step explanation:
Let's call the number of adults A, and the number of children C.
The total number of people were 97, so:
A + C = 97
The total earning was $765, so:
9A + 5C = 765
From the first equation:
A = 97 - C
using this value in the second equation:
9*(97 - C) + 5C = 765
873 - 9C + 5C = 765
4C = 108
C = 27
Then we find the value of A:
A = 97 - C = 97 - 27 = 70
70 adults and 27 children went to the film premiere.
