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xeze [42]
3 years ago
10

358 tickets to the school basketball game on Friday were sold.Students tickets were $1.50 and non-student tickets were $3.25. Th

e school made $752.25.Write and solve a system of equations to determine how many of each ticket was sold.
Mathematics
1 answer:
GuDViN [60]3 years ago
6 0

235 student tickets and 123 non-student tickets were sold.

Step-by-step explanation:

Given,

Total number of tickets sold = 358

Total revenue generated = $752.25

Cost of student ticket = $1.50

Cost of non-student ticket = $3.25

Let,

x represent the number of student tickets sold.

y represent the number of non-student tickets sold.

According to given statement;

x+y=358    Eqn 1

1.50x+3.25y=752.25    Eqn 2

Multiplying Eqn 1 by 1.50

1.50(x+y=358)\\1.50x+1.50y=537\ \ \ Eqn 3\\

Subtracting Eqn 3 from Eqn 2

(1.50x+3.25y)-(1.50x+1.50y)=752.25-537\\1.50x+3.25y-1.50x-1.50y=215.25\\1.75y=215.25

Dividing both sides by 1.75

\frac{1.75y}{1.75}=\frac{215.25}{1.75}\\y=123

Putting y=123 in Eqn 1

x+123=358\\x=358-123\\x=235

235 student tickets and 123 non-student tickets were sold.

Keywords: linear equation, elimination

Learn more about elimination method at:

  • brainly.com/question/899976
  • brainly.com/question/884169

#LearnwithBrainly

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