SOLUTION: Your school sold 456 tickets for a high school play. An adult ticket cost $3.50. A student ticket cost $1. Total ticket sales equaled $1131. Let a equal the number of adult tickets

Algebra ->  Matrices-and-determiminant -> SOLUTION: Your school sold 456 tickets for a high school play. An adult ticket cost $3.50. A student ticket cost $1. Total ticket sales equaled $1131. Let a equal the number of adult tickets      Log On


   

Question 409645: Your school sold 456 tickets for a high school play. An adult ticket cost $3.50. A student ticket cost $1. Total ticket sales equaled $1131. Let a equal the number of adult tickets sold, and let s equal the number of student tickets sold. A. Write a system of equation that relates the number of adult and student tickets sold to the total number of tickets sold and to the total ticket sales. B. Solve by elimination to find the number of each type of ticket sold.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a equal the number of adult tickets sold
Let s equal the number of student tickets sold
given:
(1) a+%2B+s+=+456
(2) 350a+%2B+100s+=+113100 (in cents)
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Multiply both sides of (1) by 100%7D%0D%0Aand+subtract+%281%29+from+%282%29%0D%0A%282%29+%7B%7B%7B350a+%2B+100s+=+113100
(1) -100a+-+100s+=+-45600
250a+=+67500
a+=+270
and, from (1),
(1) a+%2B+s+=+456
s+=+456+-+270
s+=+186
270 adult and 186 student tickets were sold
check answer:
(2) 350a+%2B+100s+=+113100
(2) 350%2A270+%2B+100%2A186+=+113100
94500+%2B+18600+=+113100
113100+=+113100
OK