SOLUTION: How can I write a system of equations for this problem: 120 people attended a musical. The total amount of money collected for tickets is $1515. Prices are $15 for adults, $12 f

Algebra.Com
Question 385069: How can I write a system of equations for this problem:
120 people attended a musical. The total amount of money collected for tickets is $1515. Prices are $15 for adults, $12 for kids, and $10 for seniors. Twice as many child's tickets were sold as adult tickets. Write a system of equations to find the number of adult, child, and senior tickets were sold. The solve the system by using a matrix equation and the inverse equation.
so far i have x+y+z=120 and 12x+15y+10z=1515
y is adult
x is adult
z is senior

Answer by tara0066(31)   (Show Source): You can put this solution on YOUR website!
Your 3 equations you are looking for are.....
a+c+s=120
15a+12c+10s=1515
c=2a

RELATED QUESTIONS

A community sponsored a charity square dance where admission was $3 for adults and $1.50... (answered by stanbon)
Tickets for a high school talent show were $5 for students and $7 for adults. A total of... (answered by ikleyn,MathTherapy)
The school's fall musical was a big success. For opening night, 347 tickets were sold.... (answered by stanbon)
The admission fee at the county fair is $2 for children and $4 for adults. On a certain... (answered by josmiceli)
i need three different equations.. this is the question.. concert tickets were sold at... (answered by ankor@dixie-net.com)
A group of 72 children and adults attended a soccer game on Tuesday. Each adult paid $5... (answered by addingup)
I need help making a system of equations based off of a word problem. Here is the... (answered by rfer)
The School's pocket money fund for the needy pupils collected a total of $4385. If this... (answered by checkley79)
tickets to the concert were $2.50 for adults and $1 for students. $1200 was collected... (answered by stanbon)