Answer:
Step-by-step explanation:
Let "a" represent the number of adult tickets sold. Then 396-a s the number of student tickets sold. Total revenue is ...
4a +3(396 -a) = 1385
a + 1188 = 1385 . . . eliminate parentheses, collect terms
a = 197 . . . . . . . . . subtract 1188. This is the number of adult tickets.
395-a = 199 . . . . . student ticket sold
Jim sold 197 adult tickets and 199 student tickets.
Answer:
199 student tickets and 197 adult tickets
Step-by-step explanation:
First we have to make 2 equations, one for total entries and one for total money
the x and y represent the number of students and adults
x = student y = adults
x + y = 396
x * $3 + y * $4 = $1386
now let's clear the x of one of the equations
x + y = 396
x = (396 - y)
and replace x with what is the same in the other equation
x * $3 + y * $4 = $1386
(396 - y) * $3 + y * $4 = $1386
we solve to find y
(396 - y) * 3 + y * 4 = 1386
1188 - 3y + 4y = 1386
-3y + 4y = 1385 - 1188
y = 197
to know x we replace y with the value it gave us in the first equation
x = (396 - y)
x = (396 - 197)
x = 199
so we have to
x = 199
y = 197
199 studenttickets and 197 adult tickets
