the tickets for a benefit concert were $6 for friday night and $8 for Saturday night. the total attendence for the two nights was 1090 people. if the total receipts for the two nights were 7856 how many people attended each night

432 people on Friday and 658 on Saturday

Step-by-step explanation:

Lets use variables for each day

x=Friday and y=Saturday

now write two equations since you were given two different information (money and people)

$6 on Friday and $8 on Saturday with a total amount of $7856

the equation will be 6x+8y=7856

now the second equation will be for people

x amount of people on Friday and y amount of people on saturday for a total of 1090; the equation will be

x+y=1090

put them together

6x+8y=7856

x+y=1090

now you can cancel a variable but manipulating one of the equations. We'll use x, to cancel x you need make it zero so multiply the bottom by - 6

6x+8y=7856

-6 (x+y=1090)

6x+8y=7856 now subtract downwards, with the x cancelling

-6x-6y=-6540

2y=1316 simplify

(2y/2) = (1316/2)

y=658

insert y into x+y=1090

x + (658) = 1090

-658 - 658

x=432