SOLUTION: Set up a system of linear equations and solve for the indicated quantities Jim goes to the movies every Friday night with his friends. Last week, they bought 25 adult tickets an

Algebra ->  Linear-equations -> SOLUTION: Set up a system of linear equations and solve for the indicated quantities Jim goes to the movies every Friday night with his friends. Last week, they bought 25 adult tickets an      Log On


   

Question 1108896: Set up a system of linear equations and solve for the indicated quantities
Jim goes to the movies every Friday night with his friends. Last week, they bought 25 adult tickets and 40 youth tickets at a total cost of $620. This week, they spend $560 on 30 adult and 25 youth tickets. Find the cost of one adult and one youth ticket?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the cost of 1 adult ticket
Let +b+ = the cost of 1 youth ticket
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(1) +25a+%2B+40b+=+620+
(2) +30a+%2B+25b+=+560+
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(1) +5a+%2B+8b+=+124+
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Multiply both sides of (1) by +6+ and
subtract (2) from (1)
(1) +30a+%2B+48b+=+744+
(2) +-30a+-+25b+=+-560+
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+23b+=+184+
+b+=+8+
and
(1) +5a+%2B+8%2A8+=+124+
(1) +5a+=+124+-+64+
(1) +5a+=+60+
(1) +a+=+12+
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The cost of 1 adult ticket is $12
The cost of 1 youth ticket is $8
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get a 2nd opinion if needed