A concert has tickets for sale. student tickets cost $3.50 and adult tickets cost $5.50. If 30 tickets were sold for a total of
$145, how many of each type was sold?
(help me with number 4 too maybe?)
(help me with number 4 too maybe?)
1 answer:
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Question:
The local community theater sold a total of 240 tickets for Saturday night’s performance. They sold 180 more full-price tickets than discount tickets. Which system of equations can be used to model this situation?
Answer:
Step-by-step explanation:
Given
Represent the number of full price with x and discounted price with y.
From the question:
x = 180 more than y
So:
Also, a total of 240 were sold.
So:
Hence, the equations are:
Solving further;
Substitute 180 + y for x in
Solve for 2y
Divide through by 2
Recall that:
Hence:
<em>Full Price = 210</em>
<em>Discounted = 30</em>
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