Columbia theater company reviews their receipts from opening weekend. They sold 83 adult tickets and 42 child tickets on Friday night, collecting a total of $874. On Saturday night, they collected $1151 from 102 adults and 67 children. If 48 adults and 26 children attended the matinee on Sunday, how much money did the theater collect from ticket sales?

They made a sales for $514

Step-by-step explanation:

Represent Adult with A

Represent Children with C

Given

Friday Night: 83A + 42C = 874

Saturday Night: 102A + 67C = 1151

Required

Determine 48A + 26C

Make C the subject in the first equation

Substitute this for C in the second equation

Multiply through by 42

Collect Like Terms

Solve for A

Recall that

Solving for 48A + 26C

Hence, they made a sales for $514

your answer is b ^w^ hope i

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.