One hundred and twenty people attended a musical. The total amount of money collected for tickets was $1515. Prices were $15 for regular adult admission, $12 for children and $10 for senior citizens. Twice as many children's tickets as regular adult tickets were sold. Write a system of equations to find the number of children, adults, and senior citizens that attended the musical. Then solve the system by using a matrix equation and the inverse matrix.

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CyCandy CyCandy · Answer 1 · 2018-04-09T19:53:56+02:00

Hope this will help.

see the attachment below

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qusaialmustafaovu05k qusaialmustafaovu05k · Answer 2 · 2019-06-10T18:51:05+02:00

Answer:

70 children, 35 adults, 15 seniors

make me brainly

Step-by-step explanation:

if we label variables a for # of adult, c for # of children, and b for # of senior citizen.

we can now come up with a system of equations from the information given.

people attending: a + b + c = 120

money from tickets: 15a + 10b + 12c = 1515

last constraint: c = 2a --> 2a + 0b - c = 0

putting this in matrix form:

[ 1 1 1 120

15 10 12 1515

2 0 -1 0 ]

getting this in row reduced echelon form (rref):

[ 1 0 0 35

0 1 0 15

0 0 1 70 ]

this relates to our a, b, & c.

a = 35, meaning 35 adults attended the concert

b = 15, meaning 15 senior citizens attended the concert

c = 70, meaning 70 children attended the concert

from this information we can concluded this musical was a intended for children