Determine if each equation is a part of the system of equations that can be used to find the number of each type of ticket that was sold. The variable x represe

Question

I have tried many math problen solver but they don't work?Michael bought 26 tickets to the movies. Adult tickets cost $40 each and student tickets cost $8 each. In all, the group spent $880 on the tickets.

Determine if each equation is a part of the system of equations that can be used to find the number of each type of ticket that was sold. The variable x represents the number of adult tickets, and y represents the number of student tickets.

x+y=26Yes or no


x−y=26yes or no 


26x+8y=880yes or no


40x+8y=880yes or no

Answer 1

x  and y represent the number of tickets.

 

so if x + y = 26 then substitute in the second equation

 

40x + 8y = 880

 

40(26-y) + 8y = 880

 

1040 - 40y + 8y = 880

 

rearranging to get 1040 - 880 = 40y -8y => 160 = 32y => y = 5

 

x = 21

 

 

 

Answer 2

You need the following 2 equations to solve this problem

 

x + y = 26

40x + 8y = 880

 

To solve:

 

1. multiply x + y = 26 on both sides by -8. This will yield -8x + -8y = -208

now add this to the other equation to get 32x = 672

 

Finally, divide both sides by 32 to get x = 21. Then y =5 since x + y = 26.

 

21 adult tickets @ $40 each and 5 student tickets @ $8 each were purchased for a total cost of $880.

 

 

Answer 3

x+y=26 Yes


x−y=26 no


26x+8y=880 no


40x+8y=880 yes