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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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(1)
we are given
we can use quadratic formula
now, we can compare and find a , b and c
we get
now, we can plug these values into quadratic formula
we can simplify it
so, we will get solution
{−3+i, −3−i}.........Answer
(2)
we are given equation as
Since, Jamal solve this equation by completing square
so, firstly we will move constant term on right side
so, subtract both sides by 14
we can write
so, we will add both sides by 4^2
we get
..............Answer