Matrices: tickets sold to seniors, children, and adults

[kimperryman]

I am very confused by matrices, this is the second question i posted today. I have never done any work with matrices before and I need some pointers. I have already read all the material provided, I have tried to do the excerises but this stuff is not sinking in. This is one of the problems I am working on. Can someone give me a start on what to do with this. I addition to not knowing about matrices, word problems in general give me trouble. Any help will be appreciated. :roll:

A total of 700 tickets were sold for a musical. Senior citizen tickets sold for $15, children tickets sold for $20, and adult tickets sold for $25; the total earnings from ticket sales was $15,750. Five times more children tickets were sold than senior citizen tickets. How many tickets of each type were sold? Set up a system of three equations and three unknowns, use an augmented matrix to solve, and show all work to receive full credit.

A. What are the three unknowns?

B. Write a separate equation representing each of the first three sentences of the word problem.

C. Determine the augmented matrix that represents the three equations.

D. Solve for the matrix. Show all work to receive full credit.

E. How many of each type of ticket were sold?

 

[stapel]

I have never done any work with matrices before and I need some pointers.

Since we cannot provide the weeks of lessons required to cover this topic, I'm afraid you're going to need to invest quite a lot of hours in diligent self-study (or else hire a tutor, local to your area, for concentrated, face-to-face instruction), in order to learn the material necessary to do the matrix stuff. :idea:

But since you've had at least some algebra, you should at least be able to get started with picking variables and creating expressions and equations. Please reply showing your set-up, and we'll see if we can't talk you through solving the equations. Matrices aren't absolutely necessary. You may be able to "get by" on your existing algebra skills. :wink:

Please be complete. Thank you!

Eliz.

 

[Denis]

x = seniors (each $15)
y = children (each $20)
z = adults (each $25)

"A total of 700 tickets were sold for a musical"
x + y + z = 700 [1]

"Senior citizen tickets sold for $15, children tickets sold for $20, and adult tickets sold for $25;
the total earnings from ticket sales was $15,750."
15x + 20y + 25z = 15750 [2]

"Five times more children tickets were sold than senior citizen tickets"
y = 5x [3]

"Set up a system of three equations and three unknowns, use an augmented matrix to solve"
Above are the 3 equations; are you able to solve them NOT using an augmented matrix?
If not, then you are not ready for this, and as Stapel told you, we can't teach that here.